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Finding the Third Proportional to 7,882 and 17,126

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Solution

The third proportional to 7,882 and 17,126 is: 37,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 17,126 = 17,126 : x
  2. Step 2: Convert to fraction form
    7,882/17,126 = 17,126/x
  3. Step 3: Cross multiply
    7,882x = 17,126 × 17,126
  4. Step 4: Simplify right side
    7,882x = 293,299,876
  5. Step 5: Solve for x
    x = 293,299,876/7,882
  6. Step 6: Final answer
    x = 37,211.35

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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.