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Finding the Third Proportional to 40,614.19 and 62,765.16

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Solution

The third proportional to 40,614.19 and 62,765.16 is: 96,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.19 : 62,765.16 = 62,765.16 : x
  2. Step 2: Convert to fraction form
    40,614.19/62,765.16 = 62,765.16/x
  3. Step 3: Cross multiply
    40,614.19x = 62,765.16 × 62,765.16
  4. Step 4: Simplify right side
    40,614.19x = 3,939,464,839.09
  5. Step 5: Solve for x
    x = 3,939,464,839.09/40,614.19
  6. Step 6: Final answer
    x = 96,997.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.