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Finding the Third Proportional to 22,772.81 and 50,029.31

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Solution

The third proportional to 22,772.81 and 50,029.31 is: 109,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.81 : 50,029.31 = 50,029.31 : x
  2. Step 2: Convert to fraction form
    22,772.81/50,029.31 = 50,029.31/x
  3. Step 3: Cross multiply
    22,772.81x = 50,029.31 × 50,029.31
  4. Step 4: Simplify right side
    22,772.81x = 2,502,932,109.22
  5. Step 5: Solve for x
    x = 2,502,932,109.22/22,772.81
  6. Step 6: Final answer
    x = 109,908.78

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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.