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Finding the Third Proportional to 35.24 and 49.66

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Solution

The third proportional to 35.24 and 49.66 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 49.66 = 49.66 : x
  2. Step 2: Convert to fraction form
    35.24/49.66 = 49.66/x
  3. Step 3: Cross multiply
    35.24x = 49.66 × 49.66
  4. Step 4: Simplify right side
    35.24x = 2,465.72
  5. Step 5: Solve for x
    x = 2,465.72/35.24
  6. Step 6: Final answer
    x = 69.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.