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Finding the Third Proportional to 15,734 and 24,681

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Solution

The third proportional to 15,734 and 24,681 is: 38,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 24,681 = 24,681 : x
  2. Step 2: Convert to fraction form
    15,734/24,681 = 24,681/x
  3. Step 3: Cross multiply
    15,734x = 24,681 × 24,681
  4. Step 4: Simplify right side
    15,734x = 609,151,761
  5. Step 5: Solve for x
    x = 609,151,761/15,734
  6. Step 6: Final answer
    x = 38,715.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.