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Finding the Third Proportional to 39,664 and 61,686

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Solution

The third proportional to 39,664 and 61,686 is: 95,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,664 : 61,686 = 61,686 : x
  2. Step 2: Convert to fraction form
    39,664/61,686 = 61,686/x
  3. Step 3: Cross multiply
    39,664x = 61,686 × 61,686
  4. Step 4: Simplify right side
    39,664x = 3,805,162,596
  5. Step 5: Solve for x
    x = 3,805,162,596/39,664
  6. Step 6: Final answer
    x = 95,934.92

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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.