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Finding the Third Proportional to 22,497 and 50,178

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Solution

The third proportional to 22,497 and 50,178 is: 111,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497 : 50,178 = 50,178 : x
  2. Step 2: Convert to fraction form
    22,497/50,178 = 50,178/x
  3. Step 3: Cross multiply
    22,497x = 50,178 × 50,178
  4. Step 4: Simplify right side
    22,497x = 2,517,831,684
  5. Step 5: Solve for x
    x = 2,517,831,684/22,497
  6. Step 6: Final answer
    x = 111,918.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.