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Finding the Third Proportional to 5,042.25 and 10,987.31

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Solution

The third proportional to 5,042.25 and 10,987.31 is: 23,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.25 : 10,987.31 = 10,987.31 : x
  2. Step 2: Convert to fraction form
    5,042.25/10,987.31 = 10,987.31/x
  3. Step 3: Cross multiply
    5,042.25x = 10,987.31 × 10,987.31
  4. Step 4: Simplify right side
    5,042.25x = 120,721,035.97
  5. Step 5: Solve for x
    x = 120,721,035.97/5,042.25
  6. Step 6: Final answer
    x = 23,941.90

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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.