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Finding the Third Proportional to 22,005 and 47,517.19

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Solution

The third proportional to 22,005 and 47,517.19 is: 102,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 47,517.19 = 47,517.19 : x
  2. Step 2: Convert to fraction form
    22,005/47,517.19 = 47,517.19/x
  3. Step 3: Cross multiply
    22,005x = 47,517.19 × 47,517.19
  4. Step 4: Simplify right side
    22,005x = 2,257,883,107.91
  5. Step 5: Solve for x
    x = 2,257,883,107.91/22,005
  6. Step 6: Final answer
    x = 102,607.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.