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Finding the Third Proportional to 35.28 and 62.96

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Solution

The third proportional to 35.28 and 62.96 is: 112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.28 : 62.96 = 62.96 : x
  2. Step 2: Convert to fraction form
    35.28/62.96 = 62.96/x
  3. Step 3: Cross multiply
    35.28x = 62.96 × 62.96
  4. Step 4: Simplify right side
    35.28x = 3,964.57
  5. Step 5: Solve for x
    x = 3,964.57/35.28
  6. Step 6: Final answer
    x = 112.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.