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Finding the Third Proportional to 20,533 and 45,107

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Solution

The third proportional to 20,533 and 45,107 is: 99,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533 : 45,107 = 45,107 : x
  2. Step 2: Convert to fraction form
    20,533/45,107 = 45,107/x
  3. Step 3: Cross multiply
    20,533x = 45,107 × 45,107
  4. Step 4: Simplify right side
    20,533x = 2,034,641,449
  5. Step 5: Solve for x
    x = 2,034,641,449/20,533
  6. Step 6: Final answer
    x = 99,091.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.