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Finding the Third Proportional to 43.37 and 96.76

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Solution

The third proportional to 43.37 and 96.76 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.37 : 96.76 = 96.76 : x
  2. Step 2: Convert to fraction form
    43.37/96.76 = 96.76/x
  3. Step 3: Cross multiply
    43.37x = 96.76 × 96.76
  4. Step 4: Simplify right side
    43.37x = 9,362.40
  5. Step 5: Solve for x
    x = 9,362.40/43.37
  6. Step 6: Final answer
    x = 215.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.