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Finding the Third Proportional to 8.47 and 17.45

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Solution

The third proportional to 8.47 and 17.45 is: 35.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.47 : 17.45 = 17.45 : x
  2. Step 2: Convert to fraction form
    8.47/17.45 = 17.45/x
  3. Step 3: Cross multiply
    8.47x = 17.45 × 17.45
  4. Step 4: Simplify right side
    8.47x = 304.61
  5. Step 5: Solve for x
    x = 304.61/8.47
  6. Step 6: Final answer
    x = 35.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.