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Finding the Third Proportional to 17.19 and 37.46

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Solution

The third proportional to 17.19 and 37.46 is: 81.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.19 : 37.46 = 37.46 : x
  2. Step 2: Convert to fraction form
    17.19/37.46 = 37.46/x
  3. Step 3: Cross multiply
    17.19x = 37.46 × 37.46
  4. Step 4: Simplify right side
    17.19x = 1,403.61
  5. Step 5: Solve for x
    x = 1,403.61/17.19
  6. Step 6: Final answer
    x = 81.65

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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.