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Finding the Third Proportional to 37,631 and 55,063

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Solution

The third proportional to 37,631 and 55,063 is: 80,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,631 : 55,063 = 55,063 : x
  2. Step 2: Convert to fraction form
    37,631/55,063 = 55,063/x
  3. Step 3: Cross multiply
    37,631x = 55,063 × 55,063
  4. Step 4: Simplify right side
    37,631x = 3,031,933,969
  5. Step 5: Solve for x
    x = 3,031,933,969/37,631
  6. Step 6: Final answer
    x = 80,570.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.