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Finding the Third Proportional to 6,097.78 and 6,819.19

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Solution

The third proportional to 6,097.78 and 6,819.19 is: 7,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 6,819.19 = 6,819.19 : x
  2. Step 2: Convert to fraction form
    6,097.78/6,819.19 = 6,819.19/x
  3. Step 3: Cross multiply
    6,097.78x = 6,819.19 × 6,819.19
  4. Step 4: Simplify right side
    6,097.78x = 46,501,318.16
  5. Step 5: Solve for x
    x = 46,501,318.16/6,097.78
  6. Step 6: Final answer
    x = 7,625.94

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.