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Finding the Third Proportional to 16,163 and 21,827

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Solution

The third proportional to 16,163 and 21,827 is: 29,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163 : 21,827 = 21,827 : x
  2. Step 2: Convert to fraction form
    16,163/21,827 = 21,827/x
  3. Step 3: Cross multiply
    16,163x = 21,827 × 21,827
  4. Step 4: Simplify right side
    16,163x = 476,417,929
  5. Step 5: Solve for x
    x = 476,417,929/16,163
  6. Step 6: Final answer
    x = 29,475.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.