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Finding the Third Proportional to 2,044.25 and 2,718.75

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Solution

The third proportional to 2,044.25 and 2,718.75 is: 3,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.25 : 2,718.75 = 2,718.75 : x
  2. Step 2: Convert to fraction form
    2,044.25/2,718.75 = 2,718.75/x
  3. Step 3: Cross multiply
    2,044.25x = 2,718.75 × 2,718.75
  4. Step 4: Simplify right side
    2,044.25x = 7,391,601.56
  5. Step 5: Solve for x
    x = 7,391,601.56/2,044.25
  6. Step 6: Final answer
    x = 3,615.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.