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Finding the Third Proportional to 22,498 and 33,622

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Solution

The third proportional to 22,498 and 33,622 is: 50,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498 : 33,622 = 33,622 : x
  2. Step 2: Convert to fraction form
    22,498/33,622 = 33,622/x
  3. Step 3: Cross multiply
    22,498x = 33,622 × 33,622
  4. Step 4: Simplify right side
    22,498x = 1,130,438,884
  5. Step 5: Solve for x
    x = 1,130,438,884/22,498
  6. Step 6: Final answer
    x = 50,246.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.