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Finding the Third Proportional to 8,414 and 11,943

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Solution

The third proportional to 8,414 and 11,943 is: 16,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 11,943 = 11,943 : x
  2. Step 2: Convert to fraction form
    8,414/11,943 = 11,943/x
  3. Step 3: Cross multiply
    8,414x = 11,943 × 11,943
  4. Step 4: Simplify right side
    8,414x = 142,635,249
  5. Step 5: Solve for x
    x = 142,635,249/8,414
  6. Step 6: Final answer
    x = 16,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.