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Finding the Third Proportional to 22,562 and 33,189

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Solution

The third proportional to 22,562 and 33,189 is: 48,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562 : 33,189 = 33,189 : x
  2. Step 2: Convert to fraction form
    22,562/33,189 = 33,189/x
  3. Step 3: Cross multiply
    22,562x = 33,189 × 33,189
  4. Step 4: Simplify right side
    22,562x = 1,101,509,721
  5. Step 5: Solve for x
    x = 1,101,509,721/22,562
  6. Step 6: Final answer
    x = 48,821.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.