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Finding the Third Proportional to 17,705.25 and 25,174.13

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Solution

The third proportional to 17,705.25 and 25,174.13 is: 35,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.25 : 25,174.13 = 25,174.13 : x
  2. Step 2: Convert to fraction form
    17,705.25/25,174.13 = 25,174.13/x
  3. Step 3: Cross multiply
    17,705.25x = 25,174.13 × 25,174.13
  4. Step 4: Simplify right side
    17,705.25x = 633,736,569.52
  5. Step 5: Solve for x
    x = 633,736,569.52/17,705.25
  6. Step 6: Final answer
    x = 35,793.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.