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Finding the Third Proportional to 36,664 and 57,187

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Solution

The third proportional to 36,664 and 57,187 is: 89,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,664 : 57,187 = 57,187 : x
  2. Step 2: Convert to fraction form
    36,664/57,187 = 57,187/x
  3. Step 3: Cross multiply
    36,664x = 57,187 × 57,187
  4. Step 4: Simplify right side
    36,664x = 3,270,352,969
  5. Step 5: Solve for x
    x = 3,270,352,969/36,664
  6. Step 6: Final answer
    x = 89,197.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.