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Finding the Third Proportional to 29.53 and 52.73

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Solution

The third proportional to 29.53 and 52.73 is: 94.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 52.73 = 52.73 : x
  2. Step 2: Convert to fraction form
    29.53/52.73 = 52.73/x
  3. Step 3: Cross multiply
    29.53x = 52.73 × 52.73
  4. Step 4: Simplify right side
    29.53x = 2,780.91
  5. Step 5: Solve for x
    x = 2,780.91/29.53
  6. Step 6: Final answer
    x = 94.17

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.