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Finding the Third Proportional to 2,253.75 and 2,568.75

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Solution

The third proportional to 2,253.75 and 2,568.75 is: 2,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.75 : 2,568.75 = 2,568.75 : x
  2. Step 2: Convert to fraction form
    2,253.75/2,568.75 = 2,568.75/x
  3. Step 3: Cross multiply
    2,253.75x = 2,568.75 × 2,568.75
  4. Step 4: Simplify right side
    2,253.75x = 6,598,476.56
  5. Step 5: Solve for x
    x = 6,598,476.56/2,253.75
  6. Step 6: Final answer
    x = 2,927.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.