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Finding the Third Proportional to 33,816 and 51,168

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Solution

The third proportional to 33,816 and 51,168 is: 77,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 51,168 = 51,168 : x
  2. Step 2: Convert to fraction form
    33,816/51,168 = 51,168/x
  3. Step 3: Cross multiply
    33,816x = 51,168 × 51,168
  4. Step 4: Simplify right side
    33,816x = 2,618,164,224
  5. Step 5: Solve for x
    x = 2,618,164,224/33,816
  6. Step 6: Final answer
    x = 77,423.83

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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.