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Finding the Third Proportional to 10,987.31 and 24,042.38

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Solution

The third proportional to 10,987.31 and 24,042.38 is: 52,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.31 : 24,042.38 = 24,042.38 : x
  2. Step 2: Convert to fraction form
    10,987.31/24,042.38 = 24,042.38/x
  3. Step 3: Cross multiply
    10,987.31x = 24,042.38 × 24,042.38
  4. Step 4: Simplify right side
    10,987.31x = 578,035,795.64
  5. Step 5: Solve for x
    x = 578,035,795.64/10,987.31
  6. Step 6: Final answer
    x = 52,609.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.