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Finding the Third Proportional to 21,958 and 42,812

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Solution

The third proportional to 21,958 and 42,812 is: 83,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,958 : 42,812 = 42,812 : x
  2. Step 2: Convert to fraction form
    21,958/42,812 = 42,812/x
  3. Step 3: Cross multiply
    21,958x = 42,812 × 42,812
  4. Step 4: Simplify right side
    21,958x = 1,832,867,344
  5. Step 5: Solve for x
    x = 1,832,867,344/21,958
  6. Step 6: Final answer
    x = 83,471.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.