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Finding the Third Proportional to 20,625 and 45,552

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Solution

The third proportional to 20,625 and 45,552 is: 100,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,625 : 45,552 = 45,552 : x
  2. Step 2: Convert to fraction form
    20,625/45,552 = 45,552/x
  3. Step 3: Cross multiply
    20,625x = 45,552 × 45,552
  4. Step 4: Simplify right side
    20,625x = 2,074,984,704
  5. Step 5: Solve for x
    x = 2,074,984,704/20,625
  6. Step 6: Final answer
    x = 100,605.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.