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Finding the Third Proportional to 37.22 and 83.06

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Solution

The third proportional to 37.22 and 83.06 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.22 : 83.06 = 83.06 : x
  2. Step 2: Convert to fraction form
    37.22/83.06 = 83.06/x
  3. Step 3: Cross multiply
    37.22x = 83.06 × 83.06
  4. Step 4: Simplify right side
    37.22x = 6,899.38
  5. Step 5: Solve for x
    x = 6,899.38/37.22
  6. Step 6: Final answer
    x = 185.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.