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Finding the Third Proportional to 17,460 and 36,398

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Solution

The third proportional to 17,460 and 36,398 is: 75,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460 : 36,398 = 36,398 : x
  2. Step 2: Convert to fraction form
    17,460/36,398 = 36,398/x
  3. Step 3: Cross multiply
    17,460x = 36,398 × 36,398
  4. Step 4: Simplify right side
    17,460x = 1,324,814,404
  5. Step 5: Solve for x
    x = 1,324,814,404/17,460
  6. Step 6: Final answer
    x = 75,877.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.