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Finding the Third Proportional to 29 and 41.31

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Solution

The third proportional to 29 and 41.31 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 41.31 = 41.31 : x
  2. Step 2: Convert to fraction form
    29/41.31 = 41.31/x
  3. Step 3: Cross multiply
    29x = 41.31 × 41.31
  4. Step 4: Simplify right side
    29x = 1,706.72
  5. Step 5: Solve for x
    x = 1,706.72/29
  6. Step 6: Final answer
    x = 58.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.