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Finding the Third Proportional to 10,864 and 16,344

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Solution

The third proportional to 10,864 and 16,344 is: 24,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864 : 16,344 = 16,344 : x
  2. Step 2: Convert to fraction form
    10,864/16,344 = 16,344/x
  3. Step 3: Cross multiply
    10,864x = 16,344 × 16,344
  4. Step 4: Simplify right side
    10,864x = 267,126,336
  5. Step 5: Solve for x
    x = 267,126,336/10,864
  6. Step 6: Final answer
    x = 24,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.