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Finding the Third Proportional to 36,564 and 75,999

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Solution

The third proportional to 36,564 and 75,999 is: 157,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564 : 75,999 = 75,999 : x
  2. Step 2: Convert to fraction form
    36,564/75,999 = 75,999/x
  3. Step 3: Cross multiply
    36,564x = 75,999 × 75,999
  4. Step 4: Simplify right side
    36,564x = 5,775,848,001
  5. Step 5: Solve for x
    x = 5,775,848,001/36,564
  6. Step 6: Final answer
    x = 157,965.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.