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Finding the Third Proportional to 37.03 and 54.22

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Solution

The third proportional to 37.03 and 54.22 is: 79.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.03 : 54.22 = 54.22 : x
  2. Step 2: Convert to fraction form
    37.03/54.22 = 54.22/x
  3. Step 3: Cross multiply
    37.03x = 54.22 × 54.22
  4. Step 4: Simplify right side
    37.03x = 2,939.67
  5. Step 5: Solve for x
    x = 2,939.67/37.03
  6. Step 6: Final answer
    x = 79.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.