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Finding the Third Proportional to 29,218 and 41,782

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Solution

The third proportional to 29,218 and 41,782 is: 59,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,218 : 41,782 = 41,782 : x
  2. Step 2: Convert to fraction form
    29,218/41,782 = 41,782/x
  3. Step 3: Cross multiply
    29,218x = 41,782 × 41,782
  4. Step 4: Simplify right side
    29,218x = 1,745,735,524
  5. Step 5: Solve for x
    x = 1,745,735,524/29,218
  6. Step 6: Final answer
    x = 59,748.63

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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.