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Finding the Third Proportional to 3,863.75 and 5,813.75

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Solution

The third proportional to 3,863.75 and 5,813.75 is: 8,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.75 : 5,813.75 = 5,813.75 : x
  2. Step 2: Convert to fraction form
    3,863.75/5,813.75 = 5,813.75/x
  3. Step 3: Cross multiply
    3,863.75x = 5,813.75 × 5,813.75
  4. Step 4: Simplify right side
    3,863.75x = 33,799,689.06
  5. Step 5: Solve for x
    x = 33,799,689.06/3,863.75
  6. Step 6: Final answer
    x = 8,747.90

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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.