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Finding the Third Proportional to 37.83 and 82.55

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Solution

The third proportional to 37.83 and 82.55 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.83 : 82.55 = 82.55 : x
  2. Step 2: Convert to fraction form
    37.83/82.55 = 82.55/x
  3. Step 3: Cross multiply
    37.83x = 82.55 × 82.55
  4. Step 4: Simplify right side
    37.83x = 6,813.99
  5. Step 5: Solve for x
    x = 6,813.99/37.83
  6. Step 6: Final answer
    x = 180.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.