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Finding the Third Proportional to 2,451.75 and 2,725.13

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Solution

The third proportional to 2,451.75 and 2,725.13 is: 3,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.75 : 2,725.13 = 2,725.13 : x
  2. Step 2: Convert to fraction form
    2,451.75/2,725.13 = 2,725.13/x
  3. Step 3: Cross multiply
    2,451.75x = 2,725.13 × 2,725.13
  4. Step 4: Simplify right side
    2,451.75x = 7,426,306.27
  5. Step 5: Solve for x
    x = 7,426,306.27/2,451.75
  6. Step 6: Final answer
    x = 3,028.98

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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.