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Finding the Third Proportional to 22,104 and 51,864

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Solution

The third proportional to 22,104 and 51,864 is: 121,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104 : 51,864 = 51,864 : x
  2. Step 2: Convert to fraction form
    22,104/51,864 = 51,864/x
  3. Step 3: Cross multiply
    22,104x = 51,864 × 51,864
  4. Step 4: Simplify right side
    22,104x = 2,689,874,496
  5. Step 5: Solve for x
    x = 2,689,874,496/22,104
  6. Step 6: Final answer
    x = 121,691.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.