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Finding the Third Proportional to 3,340.69 and 5,193.56

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Solution

The third proportional to 3,340.69 and 5,193.56 is: 8,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.69 : 5,193.56 = 5,193.56 : x
  2. Step 2: Convert to fraction form
    3,340.69/5,193.56 = 5,193.56/x
  3. Step 3: Cross multiply
    3,340.69x = 5,193.56 × 5,193.56
  4. Step 4: Simplify right side
    3,340.69x = 26,973,091.44
  5. Step 5: Solve for x
    x = 26,973,091.44/3,340.69
  6. Step 6: Final answer
    x = 8,074.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.