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Finding the Third Proportional to 10,543.92 and 22,273.10

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Solution

The third proportional to 10,543.92 and 22,273.10 is: 47,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.92 : 22,273.10 = 22,273.10 : x
  2. Step 2: Convert to fraction form
    10,543.92/22,273.10 = 22,273.10/x
  3. Step 3: Cross multiply
    10,543.92x = 22,273.10 × 22,273.10
  4. Step 4: Simplify right side
    10,543.92x = 496,091,053.21
  5. Step 5: Solve for x
    x = 496,091,053.21/10,543.92
  6. Step 6: Final answer
    x = 47,049.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.