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Finding the Third Proportional to 3,813.19 and 4,366.69

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Solution

The third proportional to 3,813.19 and 4,366.69 is: 5,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.19 : 4,366.69 = 4,366.69 : x
  2. Step 2: Convert to fraction form
    3,813.19/4,366.69 = 4,366.69/x
  3. Step 3: Cross multiply
    3,813.19x = 4,366.69 × 4,366.69
  4. Step 4: Simplify right side
    3,813.19x = 19,067,959.72
  5. Step 5: Solve for x
    x = 19,067,959.72/3,813.19
  6. Step 6: Final answer
    x = 5,000.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.