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Finding the Third Proportional to 10,194.61 and 22,458.66

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Solution

The third proportional to 10,194.61 and 22,458.66 is: 49,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.61 : 22,458.66 = 22,458.66 : x
  2. Step 2: Convert to fraction form
    10,194.61/22,458.66 = 22,458.66/x
  3. Step 3: Cross multiply
    10,194.61x = 22,458.66 × 22,458.66
  4. Step 4: Simplify right side
    10,194.61x = 504,391,240.56
  5. Step 5: Solve for x
    x = 504,391,240.56/10,194.61
  6. Step 6: Final answer
    x = 49,476.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.