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Finding the Third Proportional to 43.56 and 67.47

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Solution

The third proportional to 43.56 and 67.47 is: 104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.56 : 67.47 = 67.47 : x
  2. Step 2: Convert to fraction form
    43.56/67.47 = 67.47/x
  3. Step 3: Cross multiply
    43.56x = 67.47 × 67.47
  4. Step 4: Simplify right side
    43.56x = 4,552.03
  5. Step 5: Solve for x
    x = 4,552.03/43.56
  6. Step 6: Final answer
    x = 104.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.