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Finding the Third Proportional to 20,727 and 48,721

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Solution

The third proportional to 20,727 and 48,721 is: 114,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727 : 48,721 = 48,721 : x
  2. Step 2: Convert to fraction form
    20,727/48,721 = 48,721/x
  3. Step 3: Cross multiply
    20,727x = 48,721 × 48,721
  4. Step 4: Simplify right side
    20,727x = 2,373,735,841
  5. Step 5: Solve for x
    x = 2,373,735,841/20,727
  6. Step 6: Final answer
    x = 114,523.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.