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Finding the Third Proportional to 872.69 and 1,806.13

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Solution

The third proportional to 872.69 and 1,806.13 is: 3,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.69 : 1,806.13 = 1,806.13 : x
  2. Step 2: Convert to fraction form
    872.69/1,806.13 = 1,806.13/x
  3. Step 3: Cross multiply
    872.69x = 1,806.13 × 1,806.13
  4. Step 4: Simplify right side
    872.69x = 3,262,087.52
  5. Step 5: Solve for x
    x = 3,262,087.52/872.69
  6. Step 6: Final answer
    x = 3,737.98

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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.