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Finding the Third Proportional to 15,944 and 23,977

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Solution

The third proportional to 15,944 and 23,977 is: 36,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 23,977 = 23,977 : x
  2. Step 2: Convert to fraction form
    15,944/23,977 = 23,977/x
  3. Step 3: Cross multiply
    15,944x = 23,977 × 23,977
  4. Step 4: Simplify right side
    15,944x = 574,896,529
  5. Step 5: Solve for x
    x = 574,896,529/15,944
  6. Step 6: Final answer
    x = 36,057.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.