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Finding the Third Proportional to 20,500 and 44,146

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Solution

The third proportional to 20,500 and 44,146 is: 95,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500 : 44,146 = 44,146 : x
  2. Step 2: Convert to fraction form
    20,500/44,146 = 44,146/x
  3. Step 3: Cross multiply
    20,500x = 44,146 × 44,146
  4. Step 4: Simplify right side
    20,500x = 1,948,869,316
  5. Step 5: Solve for x
    x = 1,948,869,316/20,500
  6. Step 6: Final answer
    x = 95,066.80

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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.