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Finding the Third Proportional to 20,864 and 43,461

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Solution

The third proportional to 20,864 and 43,461 is: 90,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864 : 43,461 = 43,461 : x
  2. Step 2: Convert to fraction form
    20,864/43,461 = 43,461/x
  3. Step 3: Cross multiply
    20,864x = 43,461 × 43,461
  4. Step 4: Simplify right side
    20,864x = 1,888,858,521
  5. Step 5: Solve for x
    x = 1,888,858,521/20,864
  6. Step 6: Final answer
    x = 90,531.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.