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Finding the Third Proportional to 2,671.31 and 3,920.06

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Solution

The third proportional to 2,671.31 and 3,920.06 is: 5,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.31 : 3,920.06 = 3,920.06 : x
  2. Step 2: Convert to fraction form
    2,671.31/3,920.06 = 3,920.06/x
  3. Step 3: Cross multiply
    2,671.31x = 3,920.06 × 3,920.06
  4. Step 4: Simplify right side
    2,671.31x = 15,366,890.00
  5. Step 5: Solve for x
    x = 15,366,890.00/2,671.31
  6. Step 6: Final answer
    x = 5,752.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.