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Finding the Third Proportional to 3,753.21 and 5,251.08

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Solution

The third proportional to 3,753.21 and 5,251.08 is: 7,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.21 : 5,251.08 = 5,251.08 : x
  2. Step 2: Convert to fraction form
    3,753.21/5,251.08 = 5,251.08/x
  3. Step 3: Cross multiply
    3,753.21x = 5,251.08 × 5,251.08
  4. Step 4: Simplify right side
    3,753.21x = 27,573,821.47
  5. Step 5: Solve for x
    x = 27,573,821.47/3,753.21
  6. Step 6: Final answer
    x = 7,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.