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Finding the Third Proportional to 40.17 and 86.67

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Solution

The third proportional to 40.17 and 86.67 is: 187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.17 : 86.67 = 86.67 : x
  2. Step 2: Convert to fraction form
    40.17/86.67 = 86.67/x
  3. Step 3: Cross multiply
    40.17x = 86.67 × 86.67
  4. Step 4: Simplify right side
    40.17x = 7,512.01
  5. Step 5: Solve for x
    x = 7,512.01/40.17
  6. Step 6: Final answer
    x = 187.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.