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Finding the Third Proportional to 29,406 and 41,922

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Solution

The third proportional to 29,406 and 41,922 is: 59,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406 : 41,922 = 41,922 : x
  2. Step 2: Convert to fraction form
    29,406/41,922 = 41,922/x
  3. Step 3: Cross multiply
    29,406x = 41,922 × 41,922
  4. Step 4: Simplify right side
    29,406x = 1,757,454,084
  5. Step 5: Solve for x
    x = 1,757,454,084/29,406
  6. Step 6: Final answer
    x = 59,765.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.