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Finding the Third Proportional to 20,324.81 and 44,142.19

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Solution

The third proportional to 20,324.81 and 44,142.19 is: 95,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.81 : 44,142.19 = 44,142.19 : x
  2. Step 2: Convert to fraction form
    20,324.81/44,142.19 = 44,142.19/x
  3. Step 3: Cross multiply
    20,324.81x = 44,142.19 × 44,142.19
  4. Step 4: Simplify right side
    20,324.81x = 1,948,532,717.29
  5. Step 5: Solve for x
    x = 1,948,532,717.29/20,324.81
  6. Step 6: Final answer
    x = 95,869.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.