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Finding the Third Proportional to 10,292.06 and 22,472.44

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Solution

The third proportional to 10,292.06 and 22,472.44 is: 49,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.06 : 22,472.44 = 22,472.44 : x
  2. Step 2: Convert to fraction form
    10,292.06/22,472.44 = 22,472.44/x
  3. Step 3: Cross multiply
    10,292.06x = 22,472.44 × 22,472.44
  4. Step 4: Simplify right side
    10,292.06x = 505,010,447.19
  5. Step 5: Solve for x
    x = 505,010,447.19/10,292.06
  6. Step 6: Final answer
    x = 49,067.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.