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Finding the Third Proportional to 8.96 and 17.05

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Solution

The third proportional to 8.96 and 17.05 is: 32.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.96 : 17.05 = 17.05 : x
  2. Step 2: Convert to fraction form
    8.96/17.05 = 17.05/x
  3. Step 3: Cross multiply
    8.96x = 17.05 × 17.05
  4. Step 4: Simplify right side
    8.96x = 290.69
  5. Step 5: Solve for x
    x = 290.69/8.96
  6. Step 6: Final answer
    x = 32.45

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.