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Finding the Third Proportional to 36,538 and 49,514

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Solution

The third proportional to 36,538 and 49,514 is: 67,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538 : 49,514 = 49,514 : x
  2. Step 2: Convert to fraction form
    36,538/49,514 = 49,514/x
  3. Step 3: Cross multiply
    36,538x = 49,514 × 49,514
  4. Step 4: Simplify right side
    36,538x = 2,451,636,196
  5. Step 5: Solve for x
    x = 2,451,636,196/36,538
  6. Step 6: Final answer
    x = 67,098.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.