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Finding the Third Proportional to 4,255.88 and 6,473.81

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Solution

The third proportional to 4,255.88 and 6,473.81 is: 9,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.88 : 6,473.81 = 6,473.81 : x
  2. Step 2: Convert to fraction form
    4,255.88/6,473.81 = 6,473.81/x
  3. Step 3: Cross multiply
    4,255.88x = 6,473.81 × 6,473.81
  4. Step 4: Simplify right side
    4,255.88x = 41,910,248.29
  5. Step 5: Solve for x
    x = 41,910,248.29/4,255.88
  6. Step 6: Final answer
    x = 9,847.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.