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Finding the Third Proportional to 29,724 and 39,662

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Solution

The third proportional to 29,724 and 39,662 is: 52,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 39,662 = 39,662 : x
  2. Step 2: Convert to fraction form
    29,724/39,662 = 39,662/x
  3. Step 3: Cross multiply
    29,724x = 39,662 × 39,662
  4. Step 4: Simplify right side
    29,724x = 1,573,074,244
  5. Step 5: Solve for x
    x = 1,573,074,244/29,724
  6. Step 6: Final answer
    x = 52,922.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.