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Finding the Third Proportional to 5,738.34 and 8,122.78

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Solution

The third proportional to 5,738.34 and 8,122.78 is: 11,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.34 : 8,122.78 = 8,122.78 : x
  2. Step 2: Convert to fraction form
    5,738.34/8,122.78 = 8,122.78/x
  3. Step 3: Cross multiply
    5,738.34x = 8,122.78 × 8,122.78
  4. Step 4: Simplify right side
    5,738.34x = 65,979,575.24
  5. Step 5: Solve for x
    x = 65,979,575.24/5,738.34
  6. Step 6: Final answer
    x = 11,498.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.