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Finding the Third Proportional to 2,744.25 and 6,048.38

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Solution

The third proportional to 2,744.25 and 6,048.38 is: 13,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.25 : 6,048.38 = 6,048.38 : x
  2. Step 2: Convert to fraction form
    2,744.25/6,048.38 = 6,048.38/x
  3. Step 3: Cross multiply
    2,744.25x = 6,048.38 × 6,048.38
  4. Step 4: Simplify right side
    2,744.25x = 36,582,840.14
  5. Step 5: Solve for x
    x = 36,582,840.14/2,744.25
  6. Step 6: Final answer
    x = 13,330.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.