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Finding the Third Proportional to 29,364 and 41,977

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Solution

The third proportional to 29,364 and 41,977 is: 60,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364 : 41,977 = 41,977 : x
  2. Step 2: Convert to fraction form
    29,364/41,977 = 41,977/x
  3. Step 3: Cross multiply
    29,364x = 41,977 × 41,977
  4. Step 4: Simplify right side
    29,364x = 1,762,068,529
  5. Step 5: Solve for x
    x = 1,762,068,529/29,364
  6. Step 6: Final answer
    x = 60,007.78

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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.