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Finding the Third Proportional to 17,146 and 36,397

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Solution

The third proportional to 17,146 and 36,397 is: 77,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146 : 36,397 = 36,397 : x
  2. Step 2: Convert to fraction form
    17,146/36,397 = 36,397/x
  3. Step 3: Cross multiply
    17,146x = 36,397 × 36,397
  4. Step 4: Simplify right side
    17,146x = 1,324,741,609
  5. Step 5: Solve for x
    x = 1,324,741,609/17,146
  6. Step 6: Final answer
    x = 77,262.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.