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Finding the Third Proportional to 21,364 and 29,962

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Solution

The third proportional to 21,364 and 29,962 is: 42,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364 : 29,962 = 29,962 : x
  2. Step 2: Convert to fraction form
    21,364/29,962 = 29,962/x
  3. Step 3: Cross multiply
    21,364x = 29,962 × 29,962
  4. Step 4: Simplify right side
    21,364x = 897,721,444
  5. Step 5: Solve for x
    x = 897,721,444/21,364
  6. Step 6: Final answer
    x = 42,020.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.