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Finding the Third Proportional to 21,001 and 42,962

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Solution

The third proportional to 21,001 and 42,962 is: 87,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001 : 42,962 = 42,962 : x
  2. Step 2: Convert to fraction form
    21,001/42,962 = 42,962/x
  3. Step 3: Cross multiply
    21,001x = 42,962 × 42,962
  4. Step 4: Simplify right side
    21,001x = 1,845,733,444
  5. Step 5: Solve for x
    x = 1,845,733,444/21,001
  6. Step 6: Final answer
    x = 87,887.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.