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Finding the Third Proportional to 44.93 and 107.96

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Solution

The third proportional to 44.93 and 107.96 is: 259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.93 : 107.96 = 107.96 : x
  2. Step 2: Convert to fraction form
    44.93/107.96 = 107.96/x
  3. Step 3: Cross multiply
    44.93x = 107.96 × 107.96
  4. Step 4: Simplify right side
    44.93x = 11,656.41
  5. Step 5: Solve for x
    x = 11,656.41/44.93
  6. Step 6: Final answer
    x = 259.44

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.