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Finding the Third Proportional to 40.03 and 54.34

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Solution

The third proportional to 40.03 and 54.34 is: 73.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.03 : 54.34 = 54.34 : x
  2. Step 2: Convert to fraction form
    40.03/54.34 = 54.34/x
  3. Step 3: Cross multiply
    40.03x = 54.34 × 54.34
  4. Step 4: Simplify right side
    40.03x = 2,953.14
  5. Step 5: Solve for x
    x = 2,953.14/40.03
  6. Step 6: Final answer
    x = 73.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.