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Finding the Third Proportional to 34,500 and 52,398

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Solution

The third proportional to 34,500 and 52,398 is: 79,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 52,398 = 52,398 : x
  2. Step 2: Convert to fraction form
    34,500/52,398 = 52,398/x
  3. Step 3: Cross multiply
    34,500x = 52,398 × 52,398
  4. Step 4: Simplify right side
    34,500x = 2,745,550,404
  5. Step 5: Solve for x
    x = 2,745,550,404/34,500
  6. Step 6: Final answer
    x = 79,581.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.