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Finding the Third Proportional to 32,761 and 50,360

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Solution

The third proportional to 32,761 and 50,360 is: 77,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 50,360 = 50,360 : x
  2. Step 2: Convert to fraction form
    32,761/50,360 = 50,360/x
  3. Step 3: Cross multiply
    32,761x = 50,360 × 50,360
  4. Step 4: Simplify right side
    32,761x = 2,536,129,600
  5. Step 5: Solve for x
    x = 2,536,129,600/32,761
  6. Step 6: Final answer
    x = 77,413.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.