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Finding the Third Proportional to 37,273 and 55,759

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Solution

The third proportional to 37,273 and 55,759 is: 83,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,273 : 55,759 = 55,759 : x
  2. Step 2: Convert to fraction form
    37,273/55,759 = 55,759/x
  3. Step 3: Cross multiply
    37,273x = 55,759 × 55,759
  4. Step 4: Simplify right side
    37,273x = 3,109,066,081
  5. Step 5: Solve for x
    x = 3,109,066,081/37,273
  6. Step 6: Final answer
    x = 83,413.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.