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Finding the Third Proportional to 10,115 and 16,713

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Solution

The third proportional to 10,115 and 16,713 is: 27,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115 : 16,713 = 16,713 : x
  2. Step 2: Convert to fraction form
    10,115/16,713 = 16,713/x
  3. Step 3: Cross multiply
    10,115x = 16,713 × 16,713
  4. Step 4: Simplify right side
    10,115x = 279,324,369
  5. Step 5: Solve for x
    x = 279,324,369/10,115
  6. Step 6: Final answer
    x = 27,614.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.