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Finding the Third Proportional to 29,366 and 41,980

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Solution

The third proportional to 29,366 and 41,980 is: 60,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,366 : 41,980 = 41,980 : x
  2. Step 2: Convert to fraction form
    29,366/41,980 = 41,980/x
  3. Step 3: Cross multiply
    29,366x = 41,980 × 41,980
  4. Step 4: Simplify right side
    29,366x = 1,762,320,400
  5. Step 5: Solve for x
    x = 1,762,320,400/29,366
  6. Step 6: Final answer
    x = 60,012.27

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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.