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Finding the Third Proportional to 31,635 and 48,019

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Solution

The third proportional to 31,635 and 48,019 is: 72,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635 : 48,019 = 48,019 : x
  2. Step 2: Convert to fraction form
    31,635/48,019 = 48,019/x
  3. Step 3: Cross multiply
    31,635x = 48,019 × 48,019
  4. Step 4: Simplify right side
    31,635x = 2,305,824,361
  5. Step 5: Solve for x
    x = 2,305,824,361/31,635
  6. Step 6: Final answer
    x = 72,888.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.