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Finding the Third Proportional to 4,401.42 and 9,166.92

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Solution

The third proportional to 4,401.42 and 9,166.92 is: 19,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.42 : 9,166.92 = 9,166.92 : x
  2. Step 2: Convert to fraction form
    4,401.42/9,166.92 = 9,166.92/x
  3. Step 3: Cross multiply
    4,401.42x = 9,166.92 × 9,166.92
  4. Step 4: Simplify right side
    4,401.42x = 84,032,456.66
  5. Step 5: Solve for x
    x = 84,032,456.66/4,401.42
  6. Step 6: Final answer
    x = 19,092.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.