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Finding the Third Proportional to 29,708 and 39,270

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Solution

The third proportional to 29,708 and 39,270 is: 51,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 39,270 = 39,270 : x
  2. Step 2: Convert to fraction form
    29,708/39,270 = 39,270/x
  3. Step 3: Cross multiply
    29,708x = 39,270 × 39,270
  4. Step 4: Simplify right side
    29,708x = 1,542,132,900
  5. Step 5: Solve for x
    x = 1,542,132,900/29,708
  6. Step 6: Final answer
    x = 51,909.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.