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Finding the Third Proportional to 20,778 and 44,475

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Solution

The third proportional to 20,778 and 44,475 is: 95,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 44,475 = 44,475 : x
  2. Step 2: Convert to fraction form
    20,778/44,475 = 44,475/x
  3. Step 3: Cross multiply
    20,778x = 44,475 × 44,475
  4. Step 4: Simplify right side
    20,778x = 1,978,025,625
  5. Step 5: Solve for x
    x = 1,978,025,625/20,778
  6. Step 6: Final answer
    x = 95,198.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.