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Finding the Third Proportional to 20,794 and 44,506

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Solution

The third proportional to 20,794 and 44,506 is: 95,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794 : 44,506 = 44,506 : x
  2. Step 2: Convert to fraction form
    20,794/44,506 = 44,506/x
  3. Step 3: Cross multiply
    20,794x = 44,506 × 44,506
  4. Step 4: Simplify right side
    20,794x = 1,980,784,036
  5. Step 5: Solve for x
    x = 1,980,784,036/20,794
  6. Step 6: Final answer
    x = 95,257.48

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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.