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Finding the Third Proportional to 48,003 and 63,698

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Solution

The third proportional to 48,003 and 63,698 is: 84,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003 : 63,698 = 63,698 : x
  2. Step 2: Convert to fraction form
    48,003/63,698 = 63,698/x
  3. Step 3: Cross multiply
    48,003x = 63,698 × 63,698
  4. Step 4: Simplify right side
    48,003x = 4,057,435,204
  5. Step 5: Solve for x
    x = 4,057,435,204/48,003
  6. Step 6: Final answer
    x = 84,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.