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Finding the Third Proportional to 22,942 and 50,797.25

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Solution

The third proportional to 22,942 and 50,797.25 is: 112,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942 : 50,797.25 = 50,797.25 : x
  2. Step 2: Convert to fraction form
    22,942/50,797.25 = 50,797.25/x
  3. Step 3: Cross multiply
    22,942x = 50,797.25 × 50,797.25
  4. Step 4: Simplify right side
    22,942x = 2,580,360,607.56
  5. Step 5: Solve for x
    x = 2,580,360,607.56/22,942
  6. Step 6: Final answer
    x = 112,473.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.