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Finding the Third Proportional to 47,800 and 75,941

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Solution

The third proportional to 47,800 and 75,941 is: 120,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,800 : 75,941 = 75,941 : x
  2. Step 2: Convert to fraction form
    47,800/75,941 = 75,941/x
  3. Step 3: Cross multiply
    47,800x = 75,941 × 75,941
  4. Step 4: Simplify right side
    47,800x = 5,767,035,481
  5. Step 5: Solve for x
    x = 5,767,035,481/47,800
  6. Step 6: Final answer
    x = 120,649.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.