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Finding the Third Proportional to 43.03 and 46.69

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Solution

The third proportional to 43.03 and 46.69 is: 50.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.03 : 46.69 = 46.69 : x
  2. Step 2: Convert to fraction form
    43.03/46.69 = 46.69/x
  3. Step 3: Cross multiply
    43.03x = 46.69 × 46.69
  4. Step 4: Simplify right side
    43.03x = 2,179.72
  5. Step 5: Solve for x
    x = 2,179.72/43.03
  6. Step 6: Final answer
    x = 50.65

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.