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Finding the Third Proportional to 16,257 and 22,081

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Solution

The third proportional to 16,257 and 22,081 is: 29,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257 : 22,081 = 22,081 : x
  2. Step 2: Convert to fraction form
    16,257/22,081 = 22,081/x
  3. Step 3: Cross multiply
    16,257x = 22,081 × 22,081
  4. Step 4: Simplify right side
    16,257x = 487,570,561
  5. Step 5: Solve for x
    x = 487,570,561/16,257
  6. Step 6: Final answer
    x = 29,991.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.