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Finding the Third Proportional to 37.97 and 89.44

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Solution

The third proportional to 37.97 and 89.44 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 89.44 = 89.44 : x
  2. Step 2: Convert to fraction form
    37.97/89.44 = 89.44/x
  3. Step 3: Cross multiply
    37.97x = 89.44 × 89.44
  4. Step 4: Simplify right side
    37.97x = 7,999.07
  5. Step 5: Solve for x
    x = 7,999.07/37.97
  6. Step 6: Final answer
    x = 210.68

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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.