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Finding the Third Proportional to 2,548.97 and 3,727.27

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Solution

The third proportional to 2,548.97 and 3,727.27 is: 5,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.97 : 3,727.27 = 3,727.27 : x
  2. Step 2: Convert to fraction form
    2,548.97/3,727.27 = 3,727.27/x
  3. Step 3: Cross multiply
    2,548.97x = 3,727.27 × 3,727.27
  4. Step 4: Simplify right side
    2,548.97x = 13,892,509.04
  5. Step 5: Solve for x
    x = 13,892,509.04/2,548.97
  6. Step 6: Final answer
    x = 5,450.25

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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.