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Finding the Third Proportional to 17.37 and 37.08

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Solution

The third proportional to 17.37 and 37.08 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.37 : 37.08 = 37.08 : x
  2. Step 2: Convert to fraction form
    17.37/37.08 = 37.08/x
  3. Step 3: Cross multiply
    17.37x = 37.08 × 37.08
  4. Step 4: Simplify right side
    17.37x = 1,374.73
  5. Step 5: Solve for x
    x = 1,374.73/17.37
  6. Step 6: Final answer
    x = 79.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.