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Finding the Third Proportional to 3,394.41 and 5,320.69

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Solution

The third proportional to 3,394.41 and 5,320.69 is: 8,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.41 : 5,320.69 = 5,320.69 : x
  2. Step 2: Convert to fraction form
    3,394.41/5,320.69 = 5,320.69/x
  3. Step 3: Cross multiply
    3,394.41x = 5,320.69 × 5,320.69
  4. Step 4: Simplify right side
    3,394.41x = 28,309,715.47
  5. Step 5: Solve for x
    x = 28,309,715.47/3,394.41
  6. Step 6: Final answer
    x = 8,340.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.