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Finding the Third Proportional to 45,274.50 and 70,643.25

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Solution

The third proportional to 45,274.50 and 70,643.25 is: 110,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,274.50 : 70,643.25 = 70,643.25 : x
  2. Step 2: Convert to fraction form
    45,274.50/70,643.25 = 70,643.25/x
  3. Step 3: Cross multiply
    45,274.50x = 70,643.25 × 70,643.25
  4. Step 4: Simplify right side
    45,274.50x = 4,990,468,770.56
  5. Step 5: Solve for x
    x = 4,990,468,770.56/45,274.50
  6. Step 6: Final answer
    x = 110,226.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.