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Finding the Third Proportional to 43,761.75 and 48,273

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Solution

The third proportional to 43,761.75 and 48,273 is: 53,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761.75 : 48,273 = 48,273 : x
  2. Step 2: Convert to fraction form
    43,761.75/48,273 = 48,273/x
  3. Step 3: Cross multiply
    43,761.75x = 48,273 × 48,273
  4. Step 4: Simplify right side
    43,761.75x = 2,330,282,529
  5. Step 5: Solve for x
    x = 2,330,282,529/43,761.75
  6. Step 6: Final answer
    x = 53,249.30

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.