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Finding the Third Proportional to 17,754.19 and 38,781.28

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Solution

The third proportional to 17,754.19 and 38,781.28 is: 84,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.19 : 38,781.28 = 38,781.28 : x
  2. Step 2: Convert to fraction form
    17,754.19/38,781.28 = 38,781.28/x
  3. Step 3: Cross multiply
    17,754.19x = 38,781.28 × 38,781.28
  4. Step 4: Simplify right side
    17,754.19x = 1,503,987,775.39
  5. Step 5: Solve for x
    x = 1,503,987,775.39/17,754.19
  6. Step 6: Final answer
    x = 84,711.72

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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.