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Finding the Third Proportional to 17,733.38 and 38,080.13

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Solution

The third proportional to 17,733.38 and 38,080.13 is: 81,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.38 : 38,080.13 = 38,080.13 : x
  2. Step 2: Convert to fraction form
    17,733.38/38,080.13 = 38,080.13/x
  3. Step 3: Cross multiply
    17,733.38x = 38,080.13 × 38,080.13
  4. Step 4: Simplify right side
    17,733.38x = 1,450,095,920.02
  5. Step 5: Solve for x
    x = 1,450,095,920.02/17,733.38
  6. Step 6: Final answer
    x = 81,772.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.