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Finding the Third Proportional to 5,442.75 and 6,005.25

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Solution

The third proportional to 5,442.75 and 6,005.25 is: 6,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.75 : 6,005.25 = 6,005.25 : x
  2. Step 2: Convert to fraction form
    5,442.75/6,005.25 = 6,005.25/x
  3. Step 3: Cross multiply
    5,442.75x = 6,005.25 × 6,005.25
  4. Step 4: Simplify right side
    5,442.75x = 36,063,027.56
  5. Step 5: Solve for x
    x = 36,063,027.56/5,442.75
  6. Step 6: Final answer
    x = 6,625.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.