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Finding the Third Proportional to 44.06 and 96.38

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Solution

The third proportional to 44.06 and 96.38 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.06 : 96.38 = 96.38 : x
  2. Step 2: Convert to fraction form
    44.06/96.38 = 96.38/x
  3. Step 3: Cross multiply
    44.06x = 96.38 × 96.38
  4. Step 4: Simplify right side
    44.06x = 9,288.14
  5. Step 5: Solve for x
    x = 9,288.14/44.06
  6. Step 6: Final answer
    x = 210.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.