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Finding the Third Proportional to 18,012.75 and 26,947.13

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Solution

The third proportional to 18,012.75 and 26,947.13 is: 40,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012.75 : 26,947.13 = 26,947.13 : x
  2. Step 2: Convert to fraction form
    18,012.75/26,947.13 = 26,947.13/x
  3. Step 3: Cross multiply
    18,012.75x = 26,947.13 × 26,947.13
  4. Step 4: Simplify right side
    18,012.75x = 726,147,545.77
  5. Step 5: Solve for x
    x = 726,147,545.77/18,012.75
  6. Step 6: Final answer
    x = 40,312.98

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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.