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Finding the Third Proportional to 20,867 and 45,277

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Solution

The third proportional to 20,867 and 45,277 is: 98,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867 : 45,277 = 45,277 : x
  2. Step 2: Convert to fraction form
    20,867/45,277 = 45,277/x
  3. Step 3: Cross multiply
    20,867x = 45,277 × 45,277
  4. Step 4: Simplify right side
    20,867x = 2,050,006,729
  5. Step 5: Solve for x
    x = 2,050,006,729/20,867
  6. Step 6: Final answer
    x = 98,241.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.