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Finding the Third Proportional to 35.11 and 54.13

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Solution

The third proportional to 35.11 and 54.13 is: 83.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.11 : 54.13 = 54.13 : x
  2. Step 2: Convert to fraction form
    35.11/54.13 = 54.13/x
  3. Step 3: Cross multiply
    35.11x = 54.13 × 54.13
  4. Step 4: Simplify right side
    35.11x = 2,930.26
  5. Step 5: Solve for x
    x = 2,930.26/35.11
  6. Step 6: Final answer
    x = 83.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.