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Finding the Third Proportional to 20,951 and 45,589

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Solution

The third proportional to 20,951 and 45,589 is: 99,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951 : 45,589 = 45,589 : x
  2. Step 2: Convert to fraction form
    20,951/45,589 = 45,589/x
  3. Step 3: Cross multiply
    20,951x = 45,589 × 45,589
  4. Step 4: Simplify right side
    20,951x = 2,078,356,921
  5. Step 5: Solve for x
    x = 2,078,356,921/20,951
  6. Step 6: Final answer
    x = 99,200.85

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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.