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Finding the Third Proportional to 7,879.50 and 10,513.69

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Solution

The third proportional to 7,879.50 and 10,513.69 is: 14,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.50 : 10,513.69 = 10,513.69 : x
  2. Step 2: Convert to fraction form
    7,879.50/10,513.69 = 10,513.69/x
  3. Step 3: Cross multiply
    7,879.50x = 10,513.69 × 10,513.69
  4. Step 4: Simplify right side
    7,879.50x = 110,537,624.85
  5. Step 5: Solve for x
    x = 110,537,624.85/7,879.50
  6. Step 6: Final answer
    x = 14,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.