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Finding the Third Proportional to 40.75 and 85.75

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Solution

The third proportional to 40.75 and 85.75 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 85.75 = 85.75 : x
  2. Step 2: Convert to fraction form
    40.75/85.75 = 85.75/x
  3. Step 3: Cross multiply
    40.75x = 85.75 × 85.75
  4. Step 4: Simplify right side
    40.75x = 7,353.06
  5. Step 5: Solve for x
    x = 7,353.06/40.75
  6. Step 6: Final answer
    x = 180.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.