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Finding the Third Proportional to 29,885 and 41,883

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Solution

The third proportional to 29,885 and 41,883 is: 58,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885 : 41,883 = 41,883 : x
  2. Step 2: Convert to fraction form
    29,885/41,883 = 41,883/x
  3. Step 3: Cross multiply
    29,885x = 41,883 × 41,883
  4. Step 4: Simplify right side
    29,885x = 1,754,185,689
  5. Step 5: Solve for x
    x = 1,754,185,689/29,885
  6. Step 6: Final answer
    x = 58,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.