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Finding the Third Proportional to 36,100 and 56,644

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Solution

The third proportional to 36,100 and 56,644 is: 88,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100 : 56,644 = 56,644 : x
  2. Step 2: Convert to fraction form
    36,100/56,644 = 56,644/x
  3. Step 3: Cross multiply
    36,100x = 56,644 × 56,644
  4. Step 4: Simplify right side
    36,100x = 3,208,542,736
  5. Step 5: Solve for x
    x = 3,208,542,736/36,100
  6. Step 6: Final answer
    x = 88,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.