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Finding the Third Proportional to 35.77 and 40.94

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Solution

The third proportional to 35.77 and 40.94 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.77 : 40.94 = 40.94 : x
  2. Step 2: Convert to fraction form
    35.77/40.94 = 40.94/x
  3. Step 3: Cross multiply
    35.77x = 40.94 × 40.94
  4. Step 4: Simplify right side
    35.77x = 1,675.68
  5. Step 5: Solve for x
    x = 1,675.68/35.77
  6. Step 6: Final answer
    x = 46.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.