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Finding the Third Proportional to 877.69 and 1,863.61

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Solution

The third proportional to 877.69 and 1,863.61 is: 3,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.69 : 1,863.61 = 1,863.61 : x
  2. Step 2: Convert to fraction form
    877.69/1,863.61 = 1,863.61/x
  3. Step 3: Cross multiply
    877.69x = 1,863.61 × 1,863.61
  4. Step 4: Simplify right side
    877.69x = 3,473,039.90
  5. Step 5: Solve for x
    x = 3,473,039.90/877.69
  6. Step 6: Final answer
    x = 3,957.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.