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Finding the Third Proportional to 36,558 and 75,992

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Solution

The third proportional to 36,558 and 75,992 is: 157,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,558 : 75,992 = 75,992 : x
  2. Step 2: Convert to fraction form
    36,558/75,992 = 75,992/x
  3. Step 3: Cross multiply
    36,558x = 75,992 × 75,992
  4. Step 4: Simplify right side
    36,558x = 5,774,784,064
  5. Step 5: Solve for x
    x = 5,774,784,064/36,558
  6. Step 6: Final answer
    x = 157,962.25

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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.