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Finding the Third Proportional to 2,730.94 and 4,147.31

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Solution

The third proportional to 2,730.94 and 4,147.31 is: 6,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.94 : 4,147.31 = 4,147.31 : x
  2. Step 2: Convert to fraction form
    2,730.94/4,147.31 = 4,147.31/x
  3. Step 3: Cross multiply
    2,730.94x = 4,147.31 × 4,147.31
  4. Step 4: Simplify right side
    2,730.94x = 17,200,200.97
  5. Step 5: Solve for x
    x = 17,200,200.97/2,730.94
  6. Step 6: Final answer
    x = 6,298.28

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