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Finding the Third Proportional to 36,115.88 and 87,009.19

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Solution

The third proportional to 36,115.88 and 87,009.19 is: 209,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,115.88 : 87,009.19 = 87,009.19 : x
  2. Step 2: Convert to fraction form
    36,115.88/87,009.19 = 87,009.19/x
  3. Step 3: Cross multiply
    36,115.88x = 87,009.19 × 87,009.19
  4. Step 4: Simplify right side
    36,115.88x = 7,570,598,709.41
  5. Step 5: Solve for x
    x = 7,570,598,709.41/36,115.88
  6. Step 6: Final answer
    x = 209,619.70

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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.