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Finding the Third Proportional to 22,077 and 33,206

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Solution

The third proportional to 22,077 and 33,206 is: 49,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077 : 33,206 = 33,206 : x
  2. Step 2: Convert to fraction form
    22,077/33,206 = 33,206/x
  3. Step 3: Cross multiply
    22,077x = 33,206 × 33,206
  4. Step 4: Simplify right side
    22,077x = 1,102,638,436
  5. Step 5: Solve for x
    x = 1,102,638,436/22,077
  6. Step 6: Final answer
    x = 49,945.12

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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.