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Finding the Third Proportional to 17,427 and 38,373

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Solution

The third proportional to 17,427 and 38,373 is: 84,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427 : 38,373 = 38,373 : x
  2. Step 2: Convert to fraction form
    17,427/38,373 = 38,373/x
  3. Step 3: Cross multiply
    17,427x = 38,373 × 38,373
  4. Step 4: Simplify right side
    17,427x = 1,472,487,129
  5. Step 5: Solve for x
    x = 1,472,487,129/17,427
  6. Step 6: Final answer
    x = 84,494.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.