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Finding the Third Proportional to 40,651 and 62,597

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Solution

The third proportional to 40,651 and 62,597 is: 96,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,651 : 62,597 = 62,597 : x
  2. Step 2: Convert to fraction form
    40,651/62,597 = 62,597/x
  3. Step 3: Cross multiply
    40,651x = 62,597 × 62,597
  4. Step 4: Simplify right side
    40,651x = 3,918,384,409
  5. Step 5: Solve for x
    x = 3,918,384,409/40,651
  6. Step 6: Final answer
    x = 96,390.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.