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Finding the Third Proportional to 33,084 and 78,034

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Solution

The third proportional to 33,084 and 78,034 is: 184,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084 : 78,034 = 78,034 : x
  2. Step 2: Convert to fraction form
    33,084/78,034 = 78,034/x
  3. Step 3: Cross multiply
    33,084x = 78,034 × 78,034
  4. Step 4: Simplify right side
    33,084x = 6,089,305,156
  5. Step 5: Solve for x
    x = 6,089,305,156/33,084
  6. Step 6: Final answer
    x = 184,055.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.