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Finding the Third Proportional to 22,716 and 33,978

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Solution

The third proportional to 22,716 and 33,978 is: 50,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 33,978 = 33,978 : x
  2. Step 2: Convert to fraction form
    22,716/33,978 = 33,978/x
  3. Step 3: Cross multiply
    22,716x = 33,978 × 33,978
  4. Step 4: Simplify right side
    22,716x = 1,154,504,484
  5. Step 5: Solve for x
    x = 1,154,504,484/22,716
  6. Step 6: Final answer
    x = 50,823.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.