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Finding the Third Proportional to 2,733.75 and 4,122.56

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Solution

The third proportional to 2,733.75 and 4,122.56 is: 6,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 4,122.56 = 4,122.56 : x
  2. Step 2: Convert to fraction form
    2,733.75/4,122.56 = 4,122.56/x
  3. Step 3: Cross multiply
    2,733.75x = 4,122.56 × 4,122.56
  4. Step 4: Simplify right side
    2,733.75x = 16,995,521.57
  5. Step 5: Solve for x
    x = 16,995,521.57/2,733.75
  6. Step 6: Final answer
    x = 6,216.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.