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Finding the Third Proportional to 22,879.97 and 49,625.16

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Solution

The third proportional to 22,879.97 and 49,625.16 is: 107,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.97 : 49,625.16 = 49,625.16 : x
  2. Step 2: Convert to fraction form
    22,879.97/49,625.16 = 49,625.16/x
  3. Step 3: Cross multiply
    22,879.97x = 49,625.16 × 49,625.16
  4. Step 4: Simplify right side
    22,879.97x = 2,462,656,132.84
  5. Step 5: Solve for x
    x = 2,462,656,132.84/22,879.97
  6. Step 6: Final answer
    x = 107,633.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.