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Finding the Third Proportional to 36,416 and 54,881

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Solution

The third proportional to 36,416 and 54,881 is: 82,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 54,881 = 54,881 : x
  2. Step 2: Convert to fraction form
    36,416/54,881 = 54,881/x
  3. Step 3: Cross multiply
    36,416x = 54,881 × 54,881
  4. Step 4: Simplify right side
    36,416x = 3,011,924,161
  5. Step 5: Solve for x
    x = 3,011,924,161/36,416
  6. Step 6: Final answer
    x = 82,708.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.