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Finding the Third Proportional to 5,343.47 and 8,294.27

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Solution

The third proportional to 5,343.47 and 8,294.27 is: 12,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.47 : 8,294.27 = 8,294.27 : x
  2. Step 2: Convert to fraction form
    5,343.47/8,294.27 = 8,294.27/x
  3. Step 3: Cross multiply
    5,343.47x = 8,294.27 × 8,294.27
  4. Step 4: Simplify right side
    5,343.47x = 68,794,971.86
  5. Step 5: Solve for x
    x = 68,794,971.86/5,343.47
  6. Step 6: Final answer
    x = 12,874.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.