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Finding the Third Proportional to 2,736 and 4,244.25

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Solution

The third proportional to 2,736 and 4,244.25 is: 6,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 4,244.25 = 4,244.25 : x
  2. Step 2: Convert to fraction form
    2,736/4,244.25 = 4,244.25/x
  3. Step 3: Cross multiply
    2,736x = 4,244.25 × 4,244.25
  4. Step 4: Simplify right side
    2,736x = 18,013,658.06
  5. Step 5: Solve for x
    x = 18,013,658.06/2,736
  6. Step 6: Final answer
    x = 6,583.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.