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Finding the Third Proportional to 19,747.50 and 27,429

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Solution

The third proportional to 19,747.50 and 27,429 is: 38,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747.50 : 27,429 = 27,429 : x
  2. Step 2: Convert to fraction form
    19,747.50/27,429 = 27,429/x
  3. Step 3: Cross multiply
    19,747.50x = 27,429 × 27,429
  4. Step 4: Simplify right side
    19,747.50x = 752,350,041
  5. Step 5: Solve for x
    x = 752,350,041/19,747.50
  6. Step 6: Final answer
    x = 38,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.