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Finding the Third Proportional to 40.13 and 83.63

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Solution

The third proportional to 40.13 and 83.63 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 83.63 = 83.63 : x
  2. Step 2: Convert to fraction form
    40.13/83.63 = 83.63/x
  3. Step 3: Cross multiply
    40.13x = 83.63 × 83.63
  4. Step 4: Simplify right side
    40.13x = 6,993.14
  5. Step 5: Solve for x
    x = 6,993.14/40.13
  6. Step 6: Final answer
    x = 174.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.