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Finding the Third Proportional to 35.75 and 76.14

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Solution

The third proportional to 35.75 and 76.14 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 76.14 = 76.14 : x
  2. Step 2: Convert to fraction form
    35.75/76.14 = 76.14/x
  3. Step 3: Cross multiply
    35.75x = 76.14 × 76.14
  4. Step 4: Simplify right side
    35.75x = 5,796.58
  5. Step 5: Solve for x
    x = 5,796.58/35.75
  6. Step 6: Final answer
    x = 162.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.