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Finding the Third Proportional to 82.75 and 92.38

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Solution

The third proportional to 82.75 and 92.38 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 92.38 = 92.38 : x
  2. Step 2: Convert to fraction form
    82.75/92.38 = 92.38/x
  3. Step 3: Cross multiply
    82.75x = 92.38 × 92.38
  4. Step 4: Simplify right side
    82.75x = 8,533.14
  5. Step 5: Solve for x
    x = 8,533.14/82.75
  6. Step 6: Final answer
    x = 103.12

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.