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Finding the Third Proportional to 18,312.75 and 37,891.13

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Solution

The third proportional to 18,312.75 and 37,891.13 is: 78,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.75 : 37,891.13 = 37,891.13 : x
  2. Step 2: Convert to fraction form
    18,312.75/37,891.13 = 37,891.13/x
  3. Step 3: Cross multiply
    18,312.75x = 37,891.13 × 37,891.13
  4. Step 4: Simplify right side
    18,312.75x = 1,435,737,353.77
  5. Step 5: Solve for x
    x = 1,435,737,353.77/18,312.75
  6. Step 6: Final answer
    x = 78,400.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.