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Finding the Third Proportional to 43.88 and 96.29

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Solution

The third proportional to 43.88 and 96.29 is: 211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.88 : 96.29 = 96.29 : x
  2. Step 2: Convert to fraction form
    43.88/96.29 = 96.29/x
  3. Step 3: Cross multiply
    43.88x = 96.29 × 96.29
  4. Step 4: Simplify right side
    43.88x = 9,272.34
  5. Step 5: Solve for x
    x = 9,272.34/43.88
  6. Step 6: Final answer
    x = 211.34

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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.