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Finding the Third Proportional to 21,695 and 43,994

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Solution

The third proportional to 21,695 and 43,994 is: 89,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695 : 43,994 = 43,994 : x
  2. Step 2: Convert to fraction form
    21,695/43,994 = 43,994/x
  3. Step 3: Cross multiply
    21,695x = 43,994 × 43,994
  4. Step 4: Simplify right side
    21,695x = 1,935,472,036
  5. Step 5: Solve for x
    x = 1,935,472,036/21,695
  6. Step 6: Final answer
    x = 89,212.82

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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.