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Finding the Third Proportional to 22,727.14 and 49,965.93

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Solution

The third proportional to 22,727.14 and 49,965.93 is: 109,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.14 : 49,965.93 = 49,965.93 : x
  2. Step 2: Convert to fraction form
    22,727.14/49,965.93 = 49,965.93/x
  3. Step 3: Cross multiply
    22,727.14x = 49,965.93 × 49,965.93
  4. Step 4: Simplify right side
    22,727.14x = 2,496,593,739.18
  5. Step 5: Solve for x
    x = 2,496,593,739.18/22,727.14
  6. Step 6: Final answer
    x = 109,850.74

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