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Finding the Third Proportional to 21,986 and 35,451

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Solution

The third proportional to 21,986 and 35,451 is: 57,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986 : 35,451 = 35,451 : x
  2. Step 2: Convert to fraction form
    21,986/35,451 = 35,451/x
  3. Step 3: Cross multiply
    21,986x = 35,451 × 35,451
  4. Step 4: Simplify right side
    21,986x = 1,256,773,401
  5. Step 5: Solve for x
    x = 1,256,773,401/21,986
  6. Step 6: Final answer
    x = 57,162.44

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.