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Finding the Third Proportional to 42.28 and 63.88

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Solution

The third proportional to 42.28 and 63.88 is: 96.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.28 : 63.88 = 63.88 : x
  2. Step 2: Convert to fraction form
    42.28/63.88 = 63.88/x
  3. Step 3: Cross multiply
    42.28x = 63.88 × 63.88
  4. Step 4: Simplify right side
    42.28x = 4,081.01
  5. Step 5: Solve for x
    x = 4,081.01/42.28
  6. Step 6: Final answer
    x = 96.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.