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Finding the Third Proportional to 40.29 and 82.48

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Solution

The third proportional to 40.29 and 82.48 is: 168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.29 : 82.48 = 82.48 : x
  2. Step 2: Convert to fraction form
    40.29/82.48 = 82.48/x
  3. Step 3: Cross multiply
    40.29x = 82.48 × 82.48
  4. Step 4: Simplify right side
    40.29x = 6,802.38
  5. Step 5: Solve for x
    x = 6,802.38/40.29
  6. Step 6: Final answer
    x = 168.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.