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Finding the Third Proportional to 22,670 and 33,351

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Solution

The third proportional to 22,670 and 33,351 is: 49,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670 : 33,351 = 33,351 : x
  2. Step 2: Convert to fraction form
    22,670/33,351 = 33,351/x
  3. Step 3: Cross multiply
    22,670x = 33,351 × 33,351
  4. Step 4: Simplify right side
    22,670x = 1,112,289,201
  5. Step 5: Solve for x
    x = 1,112,289,201/22,670
  6. Step 6: Final answer
    x = 49,064.37

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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.