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Finding the Third Proportional to 36,497 and 52,741

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Solution

The third proportional to 36,497 and 52,741 is: 76,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497 : 52,741 = 52,741 : x
  2. Step 2: Convert to fraction form
    36,497/52,741 = 52,741/x
  3. Step 3: Cross multiply
    36,497x = 52,741 × 52,741
  4. Step 4: Simplify right side
    36,497x = 2,781,613,081
  5. Step 5: Solve for x
    x = 2,781,613,081/36,497
  6. Step 6: Final answer
    x = 76,214.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.