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Finding the Third Proportional to 22,744.86 and 49,355.26

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Solution

The third proportional to 22,744.86 and 49,355.26 is: 107,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.86 : 49,355.26 = 49,355.26 : x
  2. Step 2: Convert to fraction form
    22,744.86/49,355.26 = 49,355.26/x
  3. Step 3: Cross multiply
    22,744.86x = 49,355.26 × 49,355.26
  4. Step 4: Simplify right side
    22,744.86x = 2,435,941,859.33
  5. Step 5: Solve for x
    x = 2,435,941,859.33/22,744.86
  6. Step 6: Final answer
    x = 107,098.55

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