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Finding the Third Proportional to 21,098 and 42,802

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Solution

The third proportional to 21,098 and 42,802 is: 86,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098 : 42,802 = 42,802 : x
  2. Step 2: Convert to fraction form
    21,098/42,802 = 42,802/x
  3. Step 3: Cross multiply
    21,098x = 42,802 × 42,802
  4. Step 4: Simplify right side
    21,098x = 1,832,011,204
  5. Step 5: Solve for x
    x = 1,832,011,204/21,098
  6. Step 6: Final answer
    x = 86,833.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.