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Finding the Third Proportional to 4,397.49 and 8,122.23

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Solution

The third proportional to 4,397.49 and 8,122.23 is: 15,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.49 : 8,122.23 = 8,122.23 : x
  2. Step 2: Convert to fraction form
    4,397.49/8,122.23 = 8,122.23/x
  3. Step 3: Cross multiply
    4,397.49x = 8,122.23 × 8,122.23
  4. Step 4: Simplify right side
    4,397.49x = 65,970,580.20
  5. Step 5: Solve for x
    x = 65,970,580.20/4,397.49
  6. Step 6: Final answer
    x = 15,001.86

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.