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Finding the Third Proportional to 5,599.13 and 8,270.86

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Solution

The third proportional to 5,599.13 and 8,270.86 is: 12,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.13 : 8,270.86 = 8,270.86 : x
  2. Step 2: Convert to fraction form
    5,599.13/8,270.86 = 8,270.86/x
  3. Step 3: Cross multiply
    5,599.13x = 8,270.86 × 8,270.86
  4. Step 4: Simplify right side
    5,599.13x = 68,407,114.80
  5. Step 5: Solve for x
    x = 68,407,114.80/5,599.13
  6. Step 6: Final answer
    x = 12,217.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.