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Finding the Third Proportional to 43.44 and 101.56

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Solution

The third proportional to 43.44 and 101.56 is: 237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.44 : 101.56 = 101.56 : x
  2. Step 2: Convert to fraction form
    43.44/101.56 = 101.56/x
  3. Step 3: Cross multiply
    43.44x = 101.56 × 101.56
  4. Step 4: Simplify right side
    43.44x = 10,314.94
  5. Step 5: Solve for x
    x = 10,314.94/43.44
  6. Step 6: Final answer
    x = 237.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.