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Finding the Third Proportional to 15,514 and 24,059

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Solution

The third proportional to 15,514 and 24,059 is: 37,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514 : 24,059 = 24,059 : x
  2. Step 2: Convert to fraction form
    15,514/24,059 = 24,059/x
  3. Step 3: Cross multiply
    15,514x = 24,059 × 24,059
  4. Step 4: Simplify right side
    15,514x = 578,835,481
  5. Step 5: Solve for x
    x = 578,835,481/15,514
  6. Step 6: Final answer
    x = 37,310.52

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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.