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Finding the Third Proportional to 17.09 and 37.49

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Solution

The third proportional to 17.09 and 37.49 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 37.49 = 37.49 : x
  2. Step 2: Convert to fraction form
    17.09/37.49 = 37.49/x
  3. Step 3: Cross multiply
    17.09x = 37.49 × 37.49
  4. Step 4: Simplify right side
    17.09x = 1,405.81
  5. Step 5: Solve for x
    x = 1,405.81/17.09
  6. Step 6: Final answer
    x = 82.28

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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.