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Finding the Third Proportional to 32,820 and 50,916

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Solution

The third proportional to 32,820 and 50,916 is: 78,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820 : 50,916 = 50,916 : x
  2. Step 2: Convert to fraction form
    32,820/50,916 = 50,916/x
  3. Step 3: Cross multiply
    32,820x = 50,916 × 50,916
  4. Step 4: Simplify right side
    32,820x = 2,592,439,056
  5. Step 5: Solve for x
    x = 2,592,439,056/32,820
  6. Step 6: Final answer
    x = 78,989.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.