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Finding the Third Proportional to 29.11 and 42.82

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Solution

The third proportional to 29.11 and 42.82 is: 62.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 42.82 = 42.82 : x
  2. Step 2: Convert to fraction form
    29.11/42.82 = 42.82/x
  3. Step 3: Cross multiply
    29.11x = 42.82 × 42.82
  4. Step 4: Simplify right side
    29.11x = 1,833.58
  5. Step 5: Solve for x
    x = 1,833.58/29.11
  6. Step 6: Final answer
    x = 62.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.