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Finding the Third Proportional to 20,577 and 44,277

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Solution

The third proportional to 20,577 and 44,277 is: 95,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577 : 44,277 = 44,277 : x
  2. Step 2: Convert to fraction form
    20,577/44,277 = 44,277/x
  3. Step 3: Cross multiply
    20,577x = 44,277 × 44,277
  4. Step 4: Simplify right side
    20,577x = 1,960,452,729
  5. Step 5: Solve for x
    x = 1,960,452,729/20,577
  6. Step 6: Final answer
    x = 95,273.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.