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Finding the Third Proportional to 5,138.44 and 6,943.22

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Solution

The third proportional to 5,138.44 and 6,943.22 is: 9,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.44 : 6,943.22 = 6,943.22 : x
  2. Step 2: Convert to fraction form
    5,138.44/6,943.22 = 6,943.22/x
  3. Step 3: Cross multiply
    5,138.44x = 6,943.22 × 6,943.22
  4. Step 4: Simplify right side
    5,138.44x = 48,208,286.61
  5. Step 5: Solve for x
    x = 48,208,286.61/5,138.44
  6. Step 6: Final answer
    x = 9,381.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.