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Finding the Third Proportional to 2,548.97 and 4,727.11

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Solution

The third proportional to 2,548.97 and 4,727.11 is: 8,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.97 : 4,727.11 = 4,727.11 : x
  2. Step 2: Convert to fraction form
    2,548.97/4,727.11 = 4,727.11/x
  3. Step 3: Cross multiply
    2,548.97x = 4,727.11 × 4,727.11
  4. Step 4: Simplify right side
    2,548.97x = 22,345,563.04
  5. Step 5: Solve for x
    x = 22,345,563.04/2,548.97
  6. Step 6: Final answer
    x = 8,766.51

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.