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Finding the Third Proportional to 24,407 and 36,514

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Solution

The third proportional to 24,407 and 36,514 is: 54,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407 : 36,514 = 36,514 : x
  2. Step 2: Convert to fraction form
    24,407/36,514 = 36,514/x
  3. Step 3: Cross multiply
    24,407x = 36,514 × 36,514
  4. Step 4: Simplify right side
    24,407x = 1,333,272,196
  5. Step 5: Solve for x
    x = 1,333,272,196/24,407
  6. Step 6: Final answer
    x = 54,626.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.