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Finding the Third Proportional to 20,912 and 44,686

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Solution

The third proportional to 20,912 and 44,686 is: 95,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912 : 44,686 = 44,686 : x
  2. Step 2: Convert to fraction form
    20,912/44,686 = 44,686/x
  3. Step 3: Cross multiply
    20,912x = 44,686 × 44,686
  4. Step 4: Simplify right side
    20,912x = 1,996,838,596
  5. Step 5: Solve for x
    x = 1,996,838,596/20,912
  6. Step 6: Final answer
    x = 95,487.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.