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Finding the Third Proportional to 36,115.88 and 87,000.75

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Solution

The third proportional to 36,115.88 and 87,000.75 is: 209,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.88 : 87,000.75 = 87,000.75 : x
  2. Step 2: Convert to fraction form
    36,115.88/87,000.75 = 87,000.75/x
  3. Step 3: Cross multiply
    36,115.88x = 87,000.75 × 87,000.75
  4. Step 4: Simplify right side
    36,115.88x = 7,569,130,500.56
  5. Step 5: Solve for x
    x = 7,569,130,500.56/36,115.88
  6. Step 6: Final answer
    x = 209,579.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.