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Finding the Third Proportional to 22,227.75 and 48,449.81

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Solution

The third proportional to 22,227.75 and 48,449.81 is: 105,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.75 : 48,449.81 = 48,449.81 : x
  2. Step 2: Convert to fraction form
    22,227.75/48,449.81 = 48,449.81/x
  3. Step 3: Cross multiply
    22,227.75x = 48,449.81 × 48,449.81
  4. Step 4: Simplify right side
    22,227.75x = 2,347,384,331.29
  5. Step 5: Solve for x
    x = 2,347,384,331.29/22,227.75
  6. Step 6: Final answer
    x = 105,606.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.