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Finding the Third Proportional to 19,461 and 27,540

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Solution

The third proportional to 19,461 and 27,540 is: 38,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 27,540 = 27,540 : x
  2. Step 2: Convert to fraction form
    19,461/27,540 = 27,540/x
  3. Step 3: Cross multiply
    19,461x = 27,540 × 27,540
  4. Step 4: Simplify right side
    19,461x = 758,451,600
  5. Step 5: Solve for x
    x = 758,451,600/19,461
  6. Step 6: Final answer
    x = 38,972.90

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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.