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Finding the Third Proportional to 29,744 and 39,692

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Solution

The third proportional to 29,744 and 39,692 is: 52,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 39,692 = 39,692 : x
  2. Step 2: Convert to fraction form
    29,744/39,692 = 39,692/x
  3. Step 3: Cross multiply
    29,744x = 39,692 × 39,692
  4. Step 4: Simplify right side
    29,744x = 1,575,454,864
  5. Step 5: Solve for x
    x = 1,575,454,864/29,744
  6. Step 6: Final answer
    x = 52,967.15

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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.