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Finding the Third Proportional to 40.13 and 90.38

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Solution

The third proportional to 40.13 and 90.38 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 90.38 = 90.38 : x
  2. Step 2: Convert to fraction form
    40.13/90.38 = 90.38/x
  3. Step 3: Cross multiply
    40.13x = 90.38 × 90.38
  4. Step 4: Simplify right side
    40.13x = 8,167.64
  5. Step 5: Solve for x
    x = 8,167.64/40.13
  6. Step 6: Final answer
    x = 203.55

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.