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Finding the Third Proportional to 17,788 and 38,708

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Solution

The third proportional to 17,788 and 38,708 is: 84,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788 : 38,708 = 38,708 : x
  2. Step 2: Convert to fraction form
    17,788/38,708 = 38,708/x
  3. Step 3: Cross multiply
    17,788x = 38,708 × 38,708
  4. Step 4: Simplify right side
    17,788x = 1,498,309,264
  5. Step 5: Solve for x
    x = 1,498,309,264/17,788
  6. Step 6: Final answer
    x = 84,231.46

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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.