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Finding the Third Proportional to 22,034 and 33,101

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Solution

The third proportional to 22,034 and 33,101 is: 49,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 33,101 = 33,101 : x
  2. Step 2: Convert to fraction form
    22,034/33,101 = 33,101/x
  3. Step 3: Cross multiply
    22,034x = 33,101 × 33,101
  4. Step 4: Simplify right side
    22,034x = 1,095,676,201
  5. Step 5: Solve for x
    x = 1,095,676,201/22,034
  6. Step 6: Final answer
    x = 49,726.61

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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.