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Finding the Third Proportional to 5,734.50 and 8,863.13

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Solution

The third proportional to 5,734.50 and 8,863.13 is: 13,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.50 : 8,863.13 = 8,863.13 : x
  2. Step 2: Convert to fraction form
    5,734.50/8,863.13 = 8,863.13/x
  3. Step 3: Cross multiply
    5,734.50x = 8,863.13 × 8,863.13
  4. Step 4: Simplify right side
    5,734.50x = 78,554,984.77
  5. Step 5: Solve for x
    x = 78,554,984.77/5,734.50
  6. Step 6: Final answer
    x = 13,698.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.