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Finding the Third Proportional to 28.63 and 44.69

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Solution

The third proportional to 28.63 and 44.69 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.63 : 44.69 = 44.69 : x
  2. Step 2: Convert to fraction form
    28.63/44.69 = 44.69/x
  3. Step 3: Cross multiply
    28.63x = 44.69 × 44.69
  4. Step 4: Simplify right side
    28.63x = 1,996.97
  5. Step 5: Solve for x
    x = 1,996.97/28.63
  6. Step 6: Final answer
    x = 69.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.