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Finding the Third Proportional to 18,414 and 27,972

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Solution

The third proportional to 18,414 and 27,972 is: 42,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 27,972 = 27,972 : x
  2. Step 2: Convert to fraction form
    18,414/27,972 = 27,972/x
  3. Step 3: Cross multiply
    18,414x = 27,972 × 27,972
  4. Step 4: Simplify right side
    18,414x = 782,432,784
  5. Step 5: Solve for x
    x = 782,432,784/18,414
  6. Step 6: Final answer
    x = 42,491.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.