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Finding the Third Proportional to 2,244.75 and 2,496.75

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Solution

The third proportional to 2,244.75 and 2,496.75 is: 2,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.75 : 2,496.75 = 2,496.75 : x
  2. Step 2: Convert to fraction form
    2,244.75/2,496.75 = 2,496.75/x
  3. Step 3: Cross multiply
    2,244.75x = 2,496.75 × 2,496.75
  4. Step 4: Simplify right side
    2,244.75x = 6,233,760.56
  5. Step 5: Solve for x
    x = 6,233,760.56/2,244.75
  6. Step 6: Final answer
    x = 2,777.04

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.