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Finding the Third Proportional to 15,732 and 24,678

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Solution

The third proportional to 15,732 and 24,678 is: 38,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 24,678 = 24,678 : x
  2. Step 2: Convert to fraction form
    15,732/24,678 = 24,678/x
  3. Step 3: Cross multiply
    15,732x = 24,678 × 24,678
  4. Step 4: Simplify right side
    15,732x = 609,003,684
  5. Step 5: Solve for x
    x = 609,003,684/15,732
  6. Step 6: Final answer
    x = 38,711.14

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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.