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Finding the Third Proportional to 30,034.50 and 45,051.75

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Solution

The third proportional to 30,034.50 and 45,051.75 is: 67,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.50 : 45,051.75 = 45,051.75 : x
  2. Step 2: Convert to fraction form
    30,034.50/45,051.75 = 45,051.75/x
  3. Step 3: Cross multiply
    30,034.50x = 45,051.75 × 45,051.75
  4. Step 4: Simplify right side
    30,034.50x = 2,029,660,178.06
  5. Step 5: Solve for x
    x = 2,029,660,178.06/30,034.50
  6. Step 6: Final answer
    x = 67,577.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.