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Finding the Third Proportional to 5,221.41 and 8,097.47

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Solution

The third proportional to 5,221.41 and 8,097.47 is: 12,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.41 : 8,097.47 = 8,097.47 : x
  2. Step 2: Convert to fraction form
    5,221.41/8,097.47 = 8,097.47/x
  3. Step 3: Cross multiply
    5,221.41x = 8,097.47 × 8,097.47
  4. Step 4: Simplify right side
    5,221.41x = 65,569,000.16
  5. Step 5: Solve for x
    x = 65,569,000.16/5,221.41
  6. Step 6: Final answer
    x = 12,557.73

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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.