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Finding the Third Proportional to 10,678.31 and 24,949.13

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Solution

The third proportional to 10,678.31 and 24,949.13 is: 58,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.31 : 24,949.13 = 24,949.13 : x
  2. Step 2: Convert to fraction form
    10,678.31/24,949.13 = 24,949.13/x
  3. Step 3: Cross multiply
    10,678.31x = 24,949.13 × 24,949.13
  4. Step 4: Simplify right side
    10,678.31x = 622,458,838.27
  5. Step 5: Solve for x
    x = 622,458,838.27/10,678.31
  6. Step 6: Final answer
    x = 58,291.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.