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Finding the Third Proportional to 27,400 and 38,812

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Solution

The third proportional to 27,400 and 38,812 is: 54,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400 : 38,812 = 38,812 : x
  2. Step 2: Convert to fraction form
    27,400/38,812 = 38,812/x
  3. Step 3: Cross multiply
    27,400x = 38,812 × 38,812
  4. Step 4: Simplify right side
    27,400x = 1,506,371,344
  5. Step 5: Solve for x
    x = 1,506,371,344/27,400
  6. Step 6: Final answer
    x = 54,977.06

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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.