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Finding the Third Proportional to 29.06 and 43.92

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Solution

The third proportional to 29.06 and 43.92 is: 66.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 43.92 = 43.92 : x
  2. Step 2: Convert to fraction form
    29.06/43.92 = 43.92/x
  3. Step 3: Cross multiply
    29.06x = 43.92 × 43.92
  4. Step 4: Simplify right side
    29.06x = 1,929.13
  5. Step 5: Solve for x
    x = 1,929.13/29.06
  6. Step 6: Final answer
    x = 66.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.