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Finding the Third Proportional to 2,767.78 and 4,045.22

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Solution

The third proportional to 2,767.78 and 4,045.22 is: 5,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.78 : 4,045.22 = 4,045.22 : x
  2. Step 2: Convert to fraction form
    2,767.78/4,045.22 = 4,045.22/x
  3. Step 3: Cross multiply
    2,767.78x = 4,045.22 × 4,045.22
  4. Step 4: Simplify right side
    2,767.78x = 16,363,794.74
  5. Step 5: Solve for x
    x = 16,363,794.74/2,767.78
  6. Step 6: Final answer
    x = 5,912.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.