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Finding the Third Proportional to 7,734.66 and 15,879.38

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Solution

The third proportional to 7,734.66 and 15,879.38 is: 32,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.66 : 15,879.38 = 15,879.38 : x
  2. Step 2: Convert to fraction form
    7,734.66/15,879.38 = 15,879.38/x
  3. Step 3: Cross multiply
    7,734.66x = 15,879.38 × 15,879.38
  4. Step 4: Simplify right side
    7,734.66x = 252,154,550.39
  5. Step 5: Solve for x
    x = 252,154,550.39/7,734.66
  6. Step 6: Final answer
    x = 32,600.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.