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Finding the Third Proportional to 17,708.06 and 38,531.53

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Solution

The third proportional to 17,708.06 and 38,531.53 is: 83,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.06 : 38,531.53 = 38,531.53 : x
  2. Step 2: Convert to fraction form
    17,708.06/38,531.53 = 38,531.53/x
  3. Step 3: Cross multiply
    17,708.06x = 38,531.53 × 38,531.53
  4. Step 4: Simplify right side
    17,708.06x = 1,484,678,900.47
  5. Step 5: Solve for x
    x = 1,484,678,900.47/17,708.06
  6. Step 6: Final answer
    x = 83,841.97

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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.