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Finding the Third Proportional to 22,943.25 and 40,857.75

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Solution

The third proportional to 22,943.25 and 40,857.75 is: 72,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.25 : 40,857.75 = 40,857.75 : x
  2. Step 2: Convert to fraction form
    22,943.25/40,857.75 = 40,857.75/x
  3. Step 3: Cross multiply
    22,943.25x = 40,857.75 × 40,857.75
  4. Step 4: Simplify right side
    22,943.25x = 1,669,355,735.06
  5. Step 5: Solve for x
    x = 1,669,355,735.06/22,943.25
  6. Step 6: Final answer
    x = 72,760.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.