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Finding the Third Proportional to 29.31 and 57.12

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Solution

The third proportional to 29.31 and 57.12 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.31 : 57.12 = 57.12 : x
  2. Step 2: Convert to fraction form
    29.31/57.12 = 57.12/x
  3. Step 3: Cross multiply
    29.31x = 57.12 × 57.12
  4. Step 4: Simplify right side
    29.31x = 3,262.71
  5. Step 5: Solve for x
    x = 3,262.71/29.31
  6. Step 6: Final answer
    x = 111.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.