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Finding the Third Proportional to 22,899 and 50,226

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Solution

The third proportional to 22,899 and 50,226 is: 110,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899 : 50,226 = 50,226 : x
  2. Step 2: Convert to fraction form
    22,899/50,226 = 50,226/x
  3. Step 3: Cross multiply
    22,899x = 50,226 × 50,226
  4. Step 4: Simplify right side
    22,899x = 2,522,651,076
  5. Step 5: Solve for x
    x = 2,522,651,076/22,899
  6. Step 6: Final answer
    x = 110,164.25

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Why These Related Problems?

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