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Finding the Third Proportional to 36,025 and 57,881

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Solution

The third proportional to 36,025 and 57,881 is: 92,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,025 : 57,881 = 57,881 : x
  2. Step 2: Convert to fraction form
    36,025/57,881 = 57,881/x
  3. Step 3: Cross multiply
    36,025x = 57,881 × 57,881
  4. Step 4: Simplify right side
    36,025x = 3,350,210,161
  5. Step 5: Solve for x
    x = 3,350,210,161/36,025
  6. Step 6: Final answer
    x = 92,996.81

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Why These Related Problems?

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