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Finding the Third Proportional to 20,686 and 44,882

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Solution

The third proportional to 20,686 and 44,882 is: 97,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686 : 44,882 = 44,882 : x
  2. Step 2: Convert to fraction form
    20,686/44,882 = 44,882/x
  3. Step 3: Cross multiply
    20,686x = 44,882 × 44,882
  4. Step 4: Simplify right side
    20,686x = 2,014,393,924
  5. Step 5: Solve for x
    x = 2,014,393,924/20,686
  6. Step 6: Final answer
    x = 97,379.58

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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.