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Finding the Third Proportional to 2,713.50 and 2,922.75

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Solution

The third proportional to 2,713.50 and 2,922.75 is: 3,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.50 : 2,922.75 = 2,922.75 : x
  2. Step 2: Convert to fraction form
    2,713.50/2,922.75 = 2,922.75/x
  3. Step 3: Cross multiply
    2,713.50x = 2,922.75 × 2,922.75
  4. Step 4: Simplify right side
    2,713.50x = 8,542,467.56
  5. Step 5: Solve for x
    x = 8,542,467.56/2,713.50
  6. Step 6: Final answer
    x = 3,148.14

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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.