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Finding the Third Proportional to 21,441 and 32,982

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Solution

The third proportional to 21,441 and 32,982 is: 50,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441 : 32,982 = 32,982 : x
  2. Step 2: Convert to fraction form
    21,441/32,982 = 32,982/x
  3. Step 3: Cross multiply
    21,441x = 32,982 × 32,982
  4. Step 4: Simplify right side
    21,441x = 1,087,812,324
  5. Step 5: Solve for x
    x = 1,087,812,324/21,441
  6. Step 6: Final answer
    x = 50,735.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.