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Finding the Third Proportional to 8.03 and 17.46

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Solution

The third proportional to 8.03 and 17.46 is: 37.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.03 : 17.46 = 17.46 : x
  2. Step 2: Convert to fraction form
    8.03/17.46 = 17.46/x
  3. Step 3: Cross multiply
    8.03x = 17.46 × 17.46
  4. Step 4: Simplify right side
    8.03x = 304.79
  5. Step 5: Solve for x
    x = 304.79/8.03
  6. Step 6: Final answer
    x = 37.98

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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.