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Finding the Third Proportional to 6,815.87 and 14,455.65

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Solution

The third proportional to 6,815.87 and 14,455.65 is: 30,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.87 : 14,455.65 = 14,455.65 : x
  2. Step 2: Convert to fraction form
    6,815.87/14,455.65 = 14,455.65/x
  3. Step 3: Cross multiply
    6,815.87x = 14,455.65 × 14,455.65
  4. Step 4: Simplify right side
    6,815.87x = 208,965,884.68
  5. Step 5: Solve for x
    x = 208,965,884.68/6,815.87
  6. Step 6: Final answer
    x = 30,658.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.