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Finding the Third Proportional to 37,267 and 59,843

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Solution

The third proportional to 37,267 and 59,843 is: 96,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,267 : 59,843 = 59,843 : x
  2. Step 2: Convert to fraction form
    37,267/59,843 = 59,843/x
  3. Step 3: Cross multiply
    37,267x = 59,843 × 59,843
  4. Step 4: Simplify right side
    37,267x = 3,581,184,649
  5. Step 5: Solve for x
    x = 3,581,184,649/37,267
  6. Step 6: Final answer
    x = 96,095.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.