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Finding the Third Proportional to 42.27 and 64.68

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Solution

The third proportional to 42.27 and 64.68 is: 98.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.27 : 64.68 = 64.68 : x
  2. Step 2: Convert to fraction form
    42.27/64.68 = 64.68/x
  3. Step 3: Cross multiply
    42.27x = 64.68 × 64.68
  4. Step 4: Simplify right side
    42.27x = 4,183.46
  5. Step 5: Solve for x
    x = 4,183.46/42.27
  6. Step 6: Final answer
    x = 98.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.