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Finding the Third Proportional to 10,854 and 22,977

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Solution

The third proportional to 10,854 and 22,977 is: 48,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 22,977 = 22,977 : x
  2. Step 2: Convert to fraction form
    10,854/22,977 = 22,977/x
  3. Step 3: Cross multiply
    10,854x = 22,977 × 22,977
  4. Step 4: Simplify right side
    10,854x = 527,942,529
  5. Step 5: Solve for x
    x = 527,942,529/10,854
  6. Step 6: Final answer
    x = 48,640.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.