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Finding the Third Proportional to 5,524.13 and 8,366.44

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Solution

The third proportional to 5,524.13 and 8,366.44 is: 12,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.13 : 8,366.44 = 8,366.44 : x
  2. Step 2: Convert to fraction form
    5,524.13/8,366.44 = 8,366.44/x
  3. Step 3: Cross multiply
    5,524.13x = 8,366.44 × 8,366.44
  4. Step 4: Simplify right side
    5,524.13x = 69,997,276.44
  5. Step 5: Solve for x
    x = 69,997,276.44/5,524.13
  6. Step 6: Final answer
    x = 12,671.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.