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Finding the Third Proportional to 5,948.44 and 8,644.22

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Solution

The third proportional to 5,948.44 and 8,644.22 is: 12,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.44 : 8,644.22 = 8,644.22 : x
  2. Step 2: Convert to fraction form
    5,948.44/8,644.22 = 8,644.22/x
  3. Step 3: Cross multiply
    5,948.44x = 8,644.22 × 8,644.22
  4. Step 4: Simplify right side
    5,948.44x = 74,722,517.80
  5. Step 5: Solve for x
    x = 74,722,517.80/5,948.44
  6. Step 6: Final answer
    x = 12,561.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.