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Finding the Third Proportional to 43.69 and 96.06

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Solution

The third proportional to 43.69 and 96.06 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.69 : 96.06 = 96.06 : x
  2. Step 2: Convert to fraction form
    43.69/96.06 = 96.06/x
  3. Step 3: Cross multiply
    43.69x = 96.06 × 96.06
  4. Step 4: Simplify right side
    43.69x = 9,228.00
  5. Step 5: Solve for x
    x = 9,228.00/43.69
  6. Step 6: Final answer
    x = 211.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.