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Finding the Third Proportional to 7,897 and 17,134

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Solution

The third proportional to 7,897 and 17,134 is: 37,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897 : 17,134 = 17,134 : x
  2. Step 2: Convert to fraction form
    7,897/17,134 = 17,134/x
  3. Step 3: Cross multiply
    7,897x = 17,134 × 17,134
  4. Step 4: Simplify right side
    7,897x = 293,573,956
  5. Step 5: Solve for x
    x = 293,573,956/7,897
  6. Step 6: Final answer
    x = 37,175.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.