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Finding the Third Proportional to 43.24 and 88.38

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Solution

The third proportional to 43.24 and 88.38 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 88.38 = 88.38 : x
  2. Step 2: Convert to fraction form
    43.24/88.38 = 88.38/x
  3. Step 3: Cross multiply
    43.24x = 88.38 × 88.38
  4. Step 4: Simplify right side
    43.24x = 7,811.52
  5. Step 5: Solve for x
    x = 7,811.52/43.24
  6. Step 6: Final answer
    x = 180.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.