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Finding the Third Proportional to 10,939.92 and 22,281.05

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Solution

The third proportional to 10,939.92 and 22,281.05 is: 45,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.92 : 22,281.05 = 22,281.05 : x
  2. Step 2: Convert to fraction form
    10,939.92/22,281.05 = 22,281.05/x
  3. Step 3: Cross multiply
    10,939.92x = 22,281.05 × 22,281.05
  4. Step 4: Simplify right side
    10,939.92x = 496,445,049.85
  5. Step 5: Solve for x
    x = 496,445,049.85/10,939.92
  6. Step 6: Final answer
    x = 45,379.21

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.