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Finding the Third Proportional to 8,127.47 and 17,743.31

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Solution

The third proportional to 8,127.47 and 17,743.31 is: 38,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.47 : 17,743.31 = 17,743.31 : x
  2. Step 2: Convert to fraction form
    8,127.47/17,743.31 = 17,743.31/x
  3. Step 3: Cross multiply
    8,127.47x = 17,743.31 × 17,743.31
  4. Step 4: Simplify right side
    8,127.47x = 314,825,138.47
  5. Step 5: Solve for x
    x = 314,825,138.47/8,127.47
  6. Step 6: Final answer
    x = 38,735.94

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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.