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Finding the Third Proportional to 22,210 and 33,767

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Solution

The third proportional to 22,210 and 33,767 is: 51,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210 : 33,767 = 33,767 : x
  2. Step 2: Convert to fraction form
    22,210/33,767 = 33,767/x
  3. Step 3: Cross multiply
    22,210x = 33,767 × 33,767
  4. Step 4: Simplify right side
    22,210x = 1,140,210,289
  5. Step 5: Solve for x
    x = 1,140,210,289/22,210
  6. Step 6: Final answer
    x = 51,337.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.