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Finding the Third Proportional to 3,374.38 and 5,281.63

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Solution

The third proportional to 3,374.38 and 5,281.63 is: 8,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.38 : 5,281.63 = 5,281.63 : x
  2. Step 2: Convert to fraction form
    3,374.38/5,281.63 = 5,281.63/x
  3. Step 3: Cross multiply
    3,374.38x = 5,281.63 × 5,281.63
  4. Step 4: Simplify right side
    3,374.38x = 27,895,562.64
  5. Step 5: Solve for x
    x = 27,895,562.64/3,374.38
  6. Step 6: Final answer
    x = 8,266.88

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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.