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Finding the Third Proportional to 29,269 and 62,977

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Solution

The third proportional to 29,269 and 62,977 is: 135,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269 : 62,977 = 62,977 : x
  2. Step 2: Convert to fraction form
    29,269/62,977 = 62,977/x
  3. Step 3: Cross multiply
    29,269x = 62,977 × 62,977
  4. Step 4: Simplify right side
    29,269x = 3,966,102,529
  5. Step 5: Solve for x
    x = 3,966,102,529/29,269
  6. Step 6: Final answer
    x = 135,505.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.