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Finding the Third Proportional to 39,566 and 61,461

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Solution

The third proportional to 39,566 and 61,461 is: 95,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,566 : 61,461 = 61,461 : x
  2. Step 2: Convert to fraction form
    39,566/61,461 = 61,461/x
  3. Step 3: Cross multiply
    39,566x = 61,461 × 61,461
  4. Step 4: Simplify right side
    39,566x = 3,777,454,521
  5. Step 5: Solve for x
    x = 3,777,454,521/39,566
  6. Step 6: Final answer
    x = 95,472.24

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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.