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Finding the Third Proportional to 42.75 and 64.03

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Solution

The third proportional to 42.75 and 64.03 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 64.03 = 64.03 : x
  2. Step 2: Convert to fraction form
    42.75/64.03 = 64.03/x
  3. Step 3: Cross multiply
    42.75x = 64.03 × 64.03
  4. Step 4: Simplify right side
    42.75x = 4,100.00
  5. Step 5: Solve for x
    x = 4,100.00/42.75
  6. Step 6: Final answer
    x = 95.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.