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Finding the Third Proportional to 22,732 and 48,379

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Solution

The third proportional to 22,732 and 48,379 is: 102,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732 : 48,379 = 48,379 : x
  2. Step 2: Convert to fraction form
    22,732/48,379 = 48,379/x
  3. Step 3: Cross multiply
    22,732x = 48,379 × 48,379
  4. Step 4: Simplify right side
    22,732x = 2,340,527,641
  5. Step 5: Solve for x
    x = 2,340,527,641/22,732
  6. Step 6: Final answer
    x = 102,961.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.