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Finding the Third Proportional to 17,754.19 and 27,489.38

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Solution

The third proportional to 17,754.19 and 27,489.38 is: 42,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.19 : 27,489.38 = 27,489.38 : x
  2. Step 2: Convert to fraction form
    17,754.19/27,489.38 = 27,489.38/x
  3. Step 3: Cross multiply
    17,754.19x = 27,489.38 × 27,489.38
  4. Step 4: Simplify right side
    17,754.19x = 755,665,737.89
  5. Step 5: Solve for x
    x = 755,665,737.89/17,754.19
  6. Step 6: Final answer
    x = 42,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.