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Finding the Third Proportional to 17.51 and 35.75

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Solution

The third proportional to 17.51 and 35.75 is: 73.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.51 : 35.75 = 35.75 : x
  2. Step 2: Convert to fraction form
    17.51/35.75 = 35.75/x
  3. Step 3: Cross multiply
    17.51x = 35.75 × 35.75
  4. Step 4: Simplify right side
    17.51x = 1,278.34
  5. Step 5: Solve for x
    x = 1,278.34/17.51
  6. Step 6: Final answer
    x = 73.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.