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Finding the Third Proportional to 1,382.06 and 3,157.73

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Solution

The third proportional to 1,382.06 and 3,157.73 is: 7,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.06 : 3,157.73 = 3,157.73 : x
  2. Step 2: Convert to fraction form
    1,382.06/3,157.73 = 3,157.73/x
  3. Step 3: Cross multiply
    1,382.06x = 3,157.73 × 3,157.73
  4. Step 4: Simplify right side
    1,382.06x = 9,971,286.38
  5. Step 5: Solve for x
    x = 9,971,286.38/1,382.06
  6. Step 6: Final answer
    x = 7,214.79

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.