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Finding the Third Proportional to 2,694.52 and 3,937.15

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Solution

The third proportional to 2,694.52 and 3,937.15 is: 5,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.52 : 3,937.15 = 3,937.15 : x
  2. Step 2: Convert to fraction form
    2,694.52/3,937.15 = 3,937.15/x
  3. Step 3: Cross multiply
    2,694.52x = 3,937.15 × 3,937.15
  4. Step 4: Simplify right side
    2,694.52x = 15,501,137.82
  5. Step 5: Solve for x
    x = 15,501,137.82/2,694.52
  6. Step 6: Final answer
    x = 5,752.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.