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Finding the Third Proportional to 17,659.69 and 25,105.78

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Solution

The third proportional to 17,659.69 and 25,105.78 is: 35,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.69 : 25,105.78 = 25,105.78 : x
  2. Step 2: Convert to fraction form
    17,659.69/25,105.78 = 25,105.78/x
  3. Step 3: Cross multiply
    17,659.69x = 25,105.78 × 25,105.78
  4. Step 4: Simplify right side
    17,659.69x = 630,300,252.17
  5. Step 5: Solve for x
    x = 630,300,252.17/17,659.69
  6. Step 6: Final answer
    x = 35,691.47

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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.