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Finding the Third Proportional to 15,982 and 24,720

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Solution

The third proportional to 15,982 and 24,720 is: 38,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982 : 24,720 = 24,720 : x
  2. Step 2: Convert to fraction form
    15,982/24,720 = 24,720/x
  3. Step 3: Cross multiply
    15,982x = 24,720 × 24,720
  4. Step 4: Simplify right side
    15,982x = 611,078,400
  5. Step 5: Solve for x
    x = 611,078,400/15,982
  6. Step 6: Final answer
    x = 38,235.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.