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Finding the Third Proportional to 5,481.42 and 6,058.55

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Solution

The third proportional to 5,481.42 and 6,058.55 is: 6,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.42 : 6,058.55 = 6,058.55 : x
  2. Step 2: Convert to fraction form
    5,481.42/6,058.55 = 6,058.55/x
  3. Step 3: Cross multiply
    5,481.42x = 6,058.55 × 6,058.55
  4. Step 4: Simplify right side
    5,481.42x = 36,705,990.24
  5. Step 5: Solve for x
    x = 36,705,990.24/5,481.42
  6. Step 6: Final answer
    x = 6,696.44

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.