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Finding the Third Proportional to 29.92 and 45.47

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Solution

The third proportional to 29.92 and 45.47 is: 69.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.92 : 45.47 = 45.47 : x
  2. Step 2: Convert to fraction form
    29.92/45.47 = 45.47/x
  3. Step 3: Cross multiply
    29.92x = 45.47 × 45.47
  4. Step 4: Simplify right side
    29.92x = 2,067.41
  5. Step 5: Solve for x
    x = 2,067.41/29.92
  6. Step 6: Final answer
    x = 69.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.