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Finding the Third Proportional to 29,342 and 39,837

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Solution

The third proportional to 29,342 and 39,837 is: 54,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,342 : 39,837 = 39,837 : x
  2. Step 2: Convert to fraction form
    29,342/39,837 = 39,837/x
  3. Step 3: Cross multiply
    29,342x = 39,837 × 39,837
  4. Step 4: Simplify right side
    29,342x = 1,586,986,569
  5. Step 5: Solve for x
    x = 1,586,986,569/29,342
  6. Step 6: Final answer
    x = 54,085.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.