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Finding the Third Proportional to 33.26 and 78.10

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Solution

The third proportional to 33.26 and 78.10 is: 183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.26 : 78.10 = 78.10 : x
  2. Step 2: Convert to fraction form
    33.26/78.10 = 78.10/x
  3. Step 3: Cross multiply
    33.26x = 78.10 × 78.10
  4. Step 4: Simplify right side
    33.26x = 6,099.39
  5. Step 5: Solve for x
    x = 6,099.39/33.26
  6. Step 6: Final answer
    x = 183.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.