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Finding the Third Proportional to 2,927.39 and 4,231.62

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Solution

The third proportional to 2,927.39 and 4,231.62 is: 6,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.39 : 4,231.62 = 4,231.62 : x
  2. Step 2: Convert to fraction form
    2,927.39/4,231.62 = 4,231.62/x
  3. Step 3: Cross multiply
    2,927.39x = 4,231.62 × 4,231.62
  4. Step 4: Simplify right side
    2,927.39x = 17,906,584.02
  5. Step 5: Solve for x
    x = 17,906,584.02/2,927.39
  6. Step 6: Final answer
    x = 6,116.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.