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Finding the Third Proportional to 36,480.38 and 78,589.13

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Solution

The third proportional to 36,480.38 and 78,589.13 is: 169,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480.38 : 78,589.13 = 78,589.13 : x
  2. Step 2: Convert to fraction form
    36,480.38/78,589.13 = 78,589.13/x
  3. Step 3: Cross multiply
    36,480.38x = 78,589.13 × 78,589.13
  4. Step 4: Simplify right side
    36,480.38x = 6,176,250,568.27
  5. Step 5: Solve for x
    x = 6,176,250,568.27/36,480.38
  6. Step 6: Final answer
    x = 169,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.