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Finding the Third Proportional to 20,809 and 44,534

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Solution

The third proportional to 20,809 and 44,534 is: 95,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809 : 44,534 = 44,534 : x
  2. Step 2: Convert to fraction form
    20,809/44,534 = 44,534/x
  3. Step 3: Cross multiply
    20,809x = 44,534 × 44,534
  4. Step 4: Simplify right side
    20,809x = 1,983,277,156
  5. Step 5: Solve for x
    x = 1,983,277,156/20,809
  6. Step 6: Final answer
    x = 95,308.62

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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.