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Finding the Third Proportional to 38,963 and 84,757

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Solution

The third proportional to 38,963 and 84,757 is: 184,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963 : 84,757 = 84,757 : x
  2. Step 2: Convert to fraction form
    38,963/84,757 = 84,757/x
  3. Step 3: Cross multiply
    38,963x = 84,757 × 84,757
  4. Step 4: Simplify right side
    38,963x = 7,183,749,049
  5. Step 5: Solve for x
    x = 7,183,749,049/38,963
  6. Step 6: Final answer
    x = 184,373.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.