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Finding the Third Proportional to 36.07 and 77.47

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Solution

The third proportional to 36.07 and 77.47 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 77.47 = 77.47 : x
  2. Step 2: Convert to fraction form
    36.07/77.47 = 77.47/x
  3. Step 3: Cross multiply
    36.07x = 77.47 × 77.47
  4. Step 4: Simplify right side
    36.07x = 6,001.10
  5. Step 5: Solve for x
    x = 6,001.10/36.07
  6. Step 6: Final answer
    x = 166.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.