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Finding the Third Proportional to 4,110.19 and 5,815.69

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Solution

The third proportional to 4,110.19 and 5,815.69 is: 8,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.19 : 5,815.69 = 5,815.69 : x
  2. Step 2: Convert to fraction form
    4,110.19/5,815.69 = 5,815.69/x
  3. Step 3: Cross multiply
    4,110.19x = 5,815.69 × 5,815.69
  4. Step 4: Simplify right side
    4,110.19x = 33,822,221.10
  5. Step 5: Solve for x
    x = 33,822,221.10/4,110.19
  6. Step 6: Final answer
    x = 8,228.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.