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Finding the Third Proportional to 24,514 and 36,771

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Solution

The third proportional to 24,514 and 36,771 is: 55,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514 : 36,771 = 36,771 : x
  2. Step 2: Convert to fraction form
    24,514/36,771 = 36,771/x
  3. Step 3: Cross multiply
    24,514x = 36,771 × 36,771
  4. Step 4: Simplify right side
    24,514x = 1,352,106,441
  5. Step 5: Solve for x
    x = 1,352,106,441/24,514
  6. Step 6: Final answer
    x = 55,156.50

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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.