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Finding the Third Proportional to 2,412.75 and 2,616.75

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Solution

The third proportional to 2,412.75 and 2,616.75 is: 2,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.75 : 2,616.75 = 2,616.75 : x
  2. Step 2: Convert to fraction form
    2,412.75/2,616.75 = 2,616.75/x
  3. Step 3: Cross multiply
    2,412.75x = 2,616.75 × 2,616.75
  4. Step 4: Simplify right side
    2,412.75x = 6,847,380.56
  5. Step 5: Solve for x
    x = 6,847,380.56/2,412.75
  6. Step 6: Final answer
    x = 2,838.00

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.