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Finding the Third Proportional to 20,239.13 and 30,361.13

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Solution

The third proportional to 20,239.13 and 30,361.13 is: 45,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239.13 : 30,361.13 = 30,361.13 : x
  2. Step 2: Convert to fraction form
    20,239.13/30,361.13 = 30,361.13/x
  3. Step 3: Cross multiply
    20,239.13x = 30,361.13 × 30,361.13
  4. Step 4: Simplify right side
    20,239.13x = 921,797,911.27
  5. Step 5: Solve for x
    x = 921,797,911.27/20,239.13
  6. Step 6: Final answer
    x = 45,545.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.