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Finding the Third Proportional to 63.28 and 97.77

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Solution

The third proportional to 63.28 and 97.77 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.28 : 97.77 = 97.77 : x
  2. Step 2: Convert to fraction form
    63.28/97.77 = 97.77/x
  3. Step 3: Cross multiply
    63.28x = 97.77 × 97.77
  4. Step 4: Simplify right side
    63.28x = 9,558.88
  5. Step 5: Solve for x
    x = 9,558.88/63.28
  6. Step 6: Final answer
    x = 151.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.