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Finding the Third Proportional to 22,017 and 33,129

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Solution

The third proportional to 22,017 and 33,129 is: 49,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017 : 33,129 = 33,129 : x
  2. Step 2: Convert to fraction form
    22,017/33,129 = 33,129/x
  3. Step 3: Cross multiply
    22,017x = 33,129 × 33,129
  4. Step 4: Simplify right side
    22,017x = 1,097,530,641
  5. Step 5: Solve for x
    x = 1,097,530,641/22,017
  6. Step 6: Final answer
    x = 49,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.