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Finding the Third Proportional to 34 and 43.63

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Solution

The third proportional to 34 and 43.63 is: 55.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 43.63 = 43.63 : x
  2. Step 2: Convert to fraction form
    34/43.63 = 43.63/x
  3. Step 3: Cross multiply
    34x = 43.63 × 43.63
  4. Step 4: Simplify right side
    34x = 1,903.14
  5. Step 5: Solve for x
    x = 1,903.14/34
  6. Step 6: Final answer
    x = 55.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.