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Finding the Third Proportional to 64.28 and 104.73

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Solution

The third proportional to 64.28 and 104.73 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.28 : 104.73 = 104.73 : x
  2. Step 2: Convert to fraction form
    64.28/104.73 = 104.73/x
  3. Step 3: Cross multiply
    64.28x = 104.73 × 104.73
  4. Step 4: Simplify right side
    64.28x = 10,968.47
  5. Step 5: Solve for x
    x = 10,968.47/64.28
  6. Step 6: Final answer
    x = 170.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.