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Finding the Third Proportional to 22,340.81 and 48,949.31

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Solution

The third proportional to 22,340.81 and 48,949.31 is: 107,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.81 : 48,949.31 = 48,949.31 : x
  2. Step 2: Convert to fraction form
    22,340.81/48,949.31 = 48,949.31/x
  3. Step 3: Cross multiply
    22,340.81x = 48,949.31 × 48,949.31
  4. Step 4: Simplify right side
    22,340.81x = 2,396,035,194.22
  5. Step 5: Solve for x
    x = 2,396,035,194.22/22,340.81
  6. Step 6: Final answer
    x = 107,249.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.