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Finding the Third Proportional to 20,815.13 and 31,744.13

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Solution

The third proportional to 20,815.13 and 31,744.13 is: 48,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.13 : 31,744.13 = 31,744.13 : x
  2. Step 2: Convert to fraction form
    20,815.13/31,744.13 = 31,744.13/x
  3. Step 3: Cross multiply
    20,815.13x = 31,744.13 × 31,744.13
  4. Step 4: Simplify right side
    20,815.13x = 1,007,689,472.02
  5. Step 5: Solve for x
    x = 1,007,689,472.02/20,815.13
  6. Step 6: Final answer
    x = 48,411.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.