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Finding the Third Proportional to 35.35 and 41.76

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Solution

The third proportional to 35.35 and 41.76 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.35 : 41.76 = 41.76 : x
  2. Step 2: Convert to fraction form
    35.35/41.76 = 41.76/x
  3. Step 3: Cross multiply
    35.35x = 41.76 × 41.76
  4. Step 4: Simplify right side
    35.35x = 1,743.63
  5. Step 5: Solve for x
    x = 1,743.63/35.35
  6. Step 6: Final answer
    x = 49.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.