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Finding the Third Proportional to 20,801 and 45,301

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Solution

The third proportional to 20,801 and 45,301 is: 98,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801 : 45,301 = 45,301 : x
  2. Step 2: Convert to fraction form
    20,801/45,301 = 45,301/x
  3. Step 3: Cross multiply
    20,801x = 45,301 × 45,301
  4. Step 4: Simplify right side
    20,801x = 2,052,180,601
  5. Step 5: Solve for x
    x = 2,052,180,601/20,801
  6. Step 6: Final answer
    x = 98,657.79

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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.