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Finding the Third Proportional to 37,016 and 50,602

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Solution

The third proportional to 37,016 and 50,602 is: 69,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016 : 50,602 = 50,602 : x
  2. Step 2: Convert to fraction form
    37,016/50,602 = 50,602/x
  3. Step 3: Cross multiply
    37,016x = 50,602 × 50,602
  4. Step 4: Simplify right side
    37,016x = 2,560,562,404
  5. Step 5: Solve for x
    x = 2,560,562,404/37,016
  6. Step 6: Final answer
    x = 69,174.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.