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Finding the Third Proportional to 5,377.13 and 8,146.69

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Solution

The third proportional to 5,377.13 and 8,146.69 is: 12,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.13 : 8,146.69 = 8,146.69 : x
  2. Step 2: Convert to fraction form
    5,377.13/8,146.69 = 8,146.69/x
  3. Step 3: Cross multiply
    5,377.13x = 8,146.69 × 8,146.69
  4. Step 4: Simplify right side
    5,377.13x = 66,368,517.22
  5. Step 5: Solve for x
    x = 66,368,517.22/5,377.13
  6. Step 6: Final answer
    x = 12,342.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.