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Finding the Third Proportional to 20,642 and 44,540

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Solution

The third proportional to 20,642 and 44,540 is: 96,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642 : 44,540 = 44,540 : x
  2. Step 2: Convert to fraction form
    20,642/44,540 = 44,540/x
  3. Step 3: Cross multiply
    20,642x = 44,540 × 44,540
  4. Step 4: Simplify right side
    20,642x = 1,983,811,600
  5. Step 5: Solve for x
    x = 1,983,811,600/20,642
  6. Step 6: Final answer
    x = 96,105.59

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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.