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Finding the Third Proportional to 47,637 and 103,698

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Solution

The third proportional to 47,637 and 103,698 is: 225,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,637 : 103,698 = 103,698 : x
  2. Step 2: Convert to fraction form
    47,637/103,698 = 103,698/x
  3. Step 3: Cross multiply
    47,637x = 103,698 × 103,698
  4. Step 4: Simplify right side
    47,637x = 10,753,275,204
  5. Step 5: Solve for x
    x = 10,753,275,204/47,637
  6. Step 6: Final answer
    x = 225,733.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.