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Finding the Third Proportional to 20,612 and 44,509

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Solution

The third proportional to 20,612 and 44,509 is: 96,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612 : 44,509 = 44,509 : x
  2. Step 2: Convert to fraction form
    20,612/44,509 = 44,509/x
  3. Step 3: Cross multiply
    20,612x = 44,509 × 44,509
  4. Step 4: Simplify right side
    20,612x = 1,981,051,081
  5. Step 5: Solve for x
    x = 1,981,051,081/20,612
  6. Step 6: Final answer
    x = 96,111.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.