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Finding the Third Proportional to 21,982 and 34,016

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Solution

The third proportional to 21,982 and 34,016 is: 52,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 34,016 = 34,016 : x
  2. Step 2: Convert to fraction form
    21,982/34,016 = 34,016/x
  3. Step 3: Cross multiply
    21,982x = 34,016 × 34,016
  4. Step 4: Simplify right side
    21,982x = 1,157,088,256
  5. Step 5: Solve for x
    x = 1,157,088,256/21,982
  6. Step 6: Final answer
    x = 52,637.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.