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Finding the Third Proportional to 36,498 and 52,743

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Solution

The third proportional to 36,498 and 52,743 is: 76,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498 : 52,743 = 52,743 : x
  2. Step 2: Convert to fraction form
    36,498/52,743 = 52,743/x
  3. Step 3: Cross multiply
    36,498x = 52,743 × 52,743
  4. Step 4: Simplify right side
    36,498x = 2,781,824,049
  5. Step 5: Solve for x
    x = 2,781,824,049/36,498
  6. Step 6: Final answer
    x = 76,218.53

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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.