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Finding the Third Proportional to 22,186 and 33,510

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Solution

The third proportional to 22,186 and 33,510 is: 50,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186 : 33,510 = 33,510 : x
  2. Step 2: Convert to fraction form
    22,186/33,510 = 33,510/x
  3. Step 3: Cross multiply
    22,186x = 33,510 × 33,510
  4. Step 4: Simplify right side
    22,186x = 1,122,920,100
  5. Step 5: Solve for x
    x = 1,122,920,100/22,186
  6. Step 6: Final answer
    x = 50,613.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.