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Finding the Third Proportional to 28.53 and 44.47

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Solution

The third proportional to 28.53 and 44.47 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.53 : 44.47 = 44.47 : x
  2. Step 2: Convert to fraction form
    28.53/44.47 = 44.47/x
  3. Step 3: Cross multiply
    28.53x = 44.47 × 44.47
  4. Step 4: Simplify right side
    28.53x = 1,977.47
  5. Step 5: Solve for x
    x = 1,977.47/28.53
  6. Step 6: Final answer
    x = 69.31

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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.