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Finding the Third Proportional to 35.44 and 76.15

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Solution

The third proportional to 35.44 and 76.15 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 76.15 = 76.15 : x
  2. Step 2: Convert to fraction form
    35.44/76.15 = 76.15/x
  3. Step 3: Cross multiply
    35.44x = 76.15 × 76.15
  4. Step 4: Simplify right side
    35.44x = 5,798.58
  5. Step 5: Solve for x
    x = 5,798.58/35.44
  6. Step 6: Final answer
    x = 163.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.