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Finding the Third Proportional to 17,781.38 and 38,843.25

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Solution

The third proportional to 17,781.38 and 38,843.25 is: 84,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.38 : 38,843.25 = 38,843.25 : x
  2. Step 2: Convert to fraction form
    17,781.38/38,843.25 = 38,843.25/x
  3. Step 3: Cross multiply
    17,781.38x = 38,843.25 × 38,843.25
  4. Step 4: Simplify right side
    17,781.38x = 1,508,798,070.56
  5. Step 5: Solve for x
    x = 1,508,798,070.56/17,781.38
  6. Step 6: Final answer
    x = 84,852.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.