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Finding the Third Proportional to 36,541.13 and 78,625.69

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Solution

The third proportional to 36,541.13 and 78,625.69 is: 169,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.13 : 78,625.69 = 78,625.69 : x
  2. Step 2: Convert to fraction form
    36,541.13/78,625.69 = 78,625.69/x
  3. Step 3: Cross multiply
    36,541.13x = 78,625.69 × 78,625.69
  4. Step 4: Simplify right side
    36,541.13x = 6,181,998,734.85
  5. Step 5: Solve for x
    x = 6,181,998,734.85/36,541.13
  6. Step 6: Final answer
    x = 169,179.21

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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.