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Finding the Third Proportional to 23,210 and 33,837

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Solution

The third proportional to 23,210 and 33,837 is: 49,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210 : 33,837 = 33,837 : x
  2. Step 2: Convert to fraction form
    23,210/33,837 = 33,837/x
  3. Step 3: Cross multiply
    23,210x = 33,837 × 33,837
  4. Step 4: Simplify right side
    23,210x = 1,144,942,569
  5. Step 5: Solve for x
    x = 1,144,942,569/23,210
  6. Step 6: Final answer
    x = 49,329.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.