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Finding the Third Proportional to 36,311 and 56,085

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Solution

The third proportional to 36,311 and 56,085 is: 86,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311 : 56,085 = 56,085 : x
  2. Step 2: Convert to fraction form
    36,311/56,085 = 56,085/x
  3. Step 3: Cross multiply
    36,311x = 56,085 × 56,085
  4. Step 4: Simplify right side
    36,311x = 3,145,527,225
  5. Step 5: Solve for x
    x = 3,145,527,225/36,311
  6. Step 6: Final answer
    x = 86,627.39

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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.