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Finding the Third Proportional to 37.54 and 82.29

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Solution

The third proportional to 37.54 and 82.29 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.54 : 82.29 = 82.29 : x
  2. Step 2: Convert to fraction form
    37.54/82.29 = 82.29/x
  3. Step 3: Cross multiply
    37.54x = 82.29 × 82.29
  4. Step 4: Simplify right side
    37.54x = 6,772.11
  5. Step 5: Solve for x
    x = 6,772.11/37.54
  6. Step 6: Final answer
    x = 180.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.