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Finding the Third Proportional to 17,659.69 and 38,017.69

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Solution

The third proportional to 17,659.69 and 38,017.69 is: 81,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.69 : 38,017.69 = 38,017.69 : x
  2. Step 2: Convert to fraction form
    17,659.69/38,017.69 = 38,017.69/x
  3. Step 3: Cross multiply
    17,659.69x = 38,017.69 × 38,017.69
  4. Step 4: Simplify right side
    17,659.69x = 1,445,344,562.85
  5. Step 5: Solve for x
    x = 1,445,344,562.85/17,659.69
  6. Step 6: Final answer
    x = 81,844.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.