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Finding the Third Proportional to 36,169.50 and 55,999.50

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Solution

The third proportional to 36,169.50 and 55,999.50 is: 86,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169.50 : 55,999.50 = 55,999.50 : x
  2. Step 2: Convert to fraction form
    36,169.50/55,999.50 = 55,999.50/x
  3. Step 3: Cross multiply
    36,169.50x = 55,999.50 × 55,999.50
  4. Step 4: Simplify right side
    36,169.50x = 3,135,944,000.25
  5. Step 5: Solve for x
    x = 3,135,944,000.25/36,169.50
  6. Step 6: Final answer
    x = 86,701.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.