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Finding the Third Proportional to 42.06 and 64

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Solution

The third proportional to 42.06 and 64 is: 97.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 64 = 64 : x
  2. Step 2: Convert to fraction form
    42.06/64 = 64/x
  3. Step 3: Cross multiply
    42.06x = 64 × 64
  4. Step 4: Simplify right side
    42.06x = 4,096
  5. Step 5: Solve for x
    x = 4,096/42.06
  6. Step 6: Final answer
    x = 97.38

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