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Finding the Third Proportional to 8,127.42 and 17,743.22

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Solution

The third proportional to 8,127.42 and 17,743.22 is: 38,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.42 : 17,743.22 = 17,743.22 : x
  2. Step 2: Convert to fraction form
    8,127.42/17,743.22 = 17,743.22/x
  3. Step 3: Cross multiply
    8,127.42x = 17,743.22 × 17,743.22
  4. Step 4: Simplify right side
    8,127.42x = 314,821,811.61
  5. Step 5: Solve for x
    x = 314,821,811.61/8,127.42
  6. Step 6: Final answer
    x = 38,735.75

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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.