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Finding the Third Proportional to 17,816.75 and 38,713.75

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Solution

The third proportional to 17,816.75 and 38,713.75 is: 84,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.75 : 38,713.75 = 38,713.75 : x
  2. Step 2: Convert to fraction form
    17,816.75/38,713.75 = 38,713.75/x
  3. Step 3: Cross multiply
    17,816.75x = 38,713.75 × 38,713.75
  4. Step 4: Simplify right side
    17,816.75x = 1,498,754,439.06
  5. Step 5: Solve for x
    x = 1,498,754,439.06/17,816.75
  6. Step 6: Final answer
    x = 84,120.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.