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Finding the Third Proportional to 6,879 and 13,042.50

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Solution

The third proportional to 6,879 and 13,042.50 is: 24,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879 : 13,042.50 = 13,042.50 : x
  2. Step 2: Convert to fraction form
    6,879/13,042.50 = 13,042.50/x
  3. Step 3: Cross multiply
    6,879x = 13,042.50 × 13,042.50
  4. Step 4: Simplify right side
    6,879x = 170,106,806.25
  5. Step 5: Solve for x
    x = 170,106,806.25/6,879
  6. Step 6: Final answer
    x = 24,728.42

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.