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Finding the Third Proportional to 16,114 and 22,811

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Solution

The third proportional to 16,114 and 22,811 is: 32,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114 : 22,811 = 22,811 : x
  2. Step 2: Convert to fraction form
    16,114/22,811 = 22,811/x
  3. Step 3: Cross multiply
    16,114x = 22,811 × 22,811
  4. Step 4: Simplify right side
    16,114x = 520,341,721
  5. Step 5: Solve for x
    x = 520,341,721/16,114
  6. Step 6: Final answer
    x = 32,291.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.