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Finding the Third Proportional to 21,882.23 and 34,737.19

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Solution

The third proportional to 21,882.23 and 34,737.19 is: 55,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.23 : 34,737.19 = 34,737.19 : x
  2. Step 2: Convert to fraction form
    21,882.23/34,737.19 = 34,737.19/x
  3. Step 3: Cross multiply
    21,882.23x = 34,737.19 × 34,737.19
  4. Step 4: Simplify right side
    21,882.23x = 1,206,672,195.41
  5. Step 5: Solve for x
    x = 1,206,672,195.41/21,882.23
  6. Step 6: Final answer
    x = 55,143.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.