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Finding the Third Proportional to 2,879.72 and 3,635.72

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Solution

The third proportional to 2,879.72 and 3,635.72 is: 4,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.72 : 3,635.72 = 3,635.72 : x
  2. Step 2: Convert to fraction form
    2,879.72/3,635.72 = 3,635.72/x
  3. Step 3: Cross multiply
    2,879.72x = 3,635.72 × 3,635.72
  4. Step 4: Simplify right side
    2,879.72x = 13,218,450.83
  5. Step 5: Solve for x
    x = 13,218,450.83/2,879.72
  6. Step 6: Final answer
    x = 4,590.19

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.