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Finding the Third Proportional to 34,102.50 and 79,652.25

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Solution

The third proportional to 34,102.50 and 79,652.25 is: 186,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.50 : 79,652.25 = 79,652.25 : x
  2. Step 2: Convert to fraction form
    34,102.50/79,652.25 = 79,652.25/x
  3. Step 3: Cross multiply
    34,102.50x = 79,652.25 × 79,652.25
  4. Step 4: Simplify right side
    34,102.50x = 6,344,480,930.06
  5. Step 5: Solve for x
    x = 6,344,480,930.06/34,102.50
  6. Step 6: Final answer
    x = 186,041.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.