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Finding the Third Proportional to 22,952 and 50,116

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Solution

The third proportional to 22,952 and 50,116 is: 109,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952 : 50,116 = 50,116 : x
  2. Step 2: Convert to fraction form
    22,952/50,116 = 50,116/x
  3. Step 3: Cross multiply
    22,952x = 50,116 × 50,116
  4. Step 4: Simplify right side
    22,952x = 2,511,613,456
  5. Step 5: Solve for x
    x = 2,511,613,456/22,952
  6. Step 6: Final answer
    x = 109,428.96

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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.