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Finding the Third Proportional to 36.50 and 40.13

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Solution

The third proportional to 36.50 and 40.13 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 40.13 = 40.13 : x
  2. Step 2: Convert to fraction form
    36.50/40.13 = 40.13/x
  3. Step 3: Cross multiply
    36.50x = 40.13 × 40.13
  4. Step 4: Simplify right side
    36.50x = 1,610.02
  5. Step 5: Solve for x
    x = 1,610.02/36.50
  6. Step 6: Final answer
    x = 44.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.