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Finding the Third Proportional to 36,416 and 55,936

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Solution

The third proportional to 36,416 and 55,936 is: 85,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 55,936 = 55,936 : x
  2. Step 2: Convert to fraction form
    36,416/55,936 = 55,936/x
  3. Step 3: Cross multiply
    36,416x = 55,936 × 55,936
  4. Step 4: Simplify right side
    36,416x = 3,128,836,096
  5. Step 5: Solve for x
    x = 3,128,836,096/36,416
  6. Step 6: Final answer
    x = 85,919.27

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Why These Related Problems?

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