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Finding the Third Proportional to 15,514 and 24,980

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Solution

The third proportional to 15,514 and 24,980 is: 40,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514 : 24,980 = 24,980 : x
  2. Step 2: Convert to fraction form
    15,514/24,980 = 24,980/x
  3. Step 3: Cross multiply
    15,514x = 24,980 × 24,980
  4. Step 4: Simplify right side
    15,514x = 624,000,400
  5. Step 5: Solve for x
    x = 624,000,400/15,514
  6. Step 6: Final answer
    x = 40,221.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.