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Finding the Third Proportional to 38,961 and 84,480.75

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Solution

The third proportional to 38,961 and 84,480.75 is: 183,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961 : 84,480.75 = 84,480.75 : x
  2. Step 2: Convert to fraction form
    38,961/84,480.75 = 84,480.75/x
  3. Step 3: Cross multiply
    38,961x = 84,480.75 × 84,480.75
  4. Step 4: Simplify right side
    38,961x = 7,136,997,120.56
  5. Step 5: Solve for x
    x = 7,136,997,120.56/38,961
  6. Step 6: Final answer
    x = 183,183.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.