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Finding the Third Proportional to 18,460 and 27,742

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Solution

The third proportional to 18,460 and 27,742 is: 41,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460 : 27,742 = 27,742 : x
  2. Step 2: Convert to fraction form
    18,460/27,742 = 27,742/x
  3. Step 3: Cross multiply
    18,460x = 27,742 × 27,742
  4. Step 4: Simplify right side
    18,460x = 769,618,564
  5. Step 5: Solve for x
    x = 769,618,564/18,460
  6. Step 6: Final answer
    x = 41,691.15

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