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Finding the Third Proportional to 24,195.38 and 52,099.03

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Solution

The third proportional to 24,195.38 and 52,099.03 is: 112,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.38 : 52,099.03 = 52,099.03 : x
  2. Step 2: Convert to fraction form
    24,195.38/52,099.03 = 52,099.03/x
  3. Step 3: Cross multiply
    24,195.38x = 52,099.03 × 52,099.03
  4. Step 4: Simplify right side
    24,195.38x = 2,714,309,057.19
  5. Step 5: Solve for x
    x = 2,714,309,057.19/24,195.38
  6. Step 6: Final answer
    x = 112,182.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.