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Finding the Third Proportional to 3,437.44 and 5,340.09

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Solution

The third proportional to 3,437.44 and 5,340.09 is: 8,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.44 : 5,340.09 = 5,340.09 : x
  2. Step 2: Convert to fraction form
    3,437.44/5,340.09 = 5,340.09/x
  3. Step 3: Cross multiply
    3,437.44x = 5,340.09 × 5,340.09
  4. Step 4: Simplify right side
    3,437.44x = 28,516,601.26
  5. Step 5: Solve for x
    x = 28,516,601.26/3,437.44
  6. Step 6: Final answer
    x = 8,295.89

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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.