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Finding the Third Proportional to 3,083.95 and 6,782.95

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Solution

The third proportional to 3,083.95 and 6,782.95 is: 14,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.95 : 6,782.95 = 6,782.95 : x
  2. Step 2: Convert to fraction form
    3,083.95/6,782.95 = 6,782.95/x
  3. Step 3: Cross multiply
    3,083.95x = 6,782.95 × 6,782.95
  4. Step 4: Simplify right side
    3,083.95x = 46,008,453.10
  5. Step 5: Solve for x
    x = 46,008,453.10/3,083.95
  6. Step 6: Final answer
    x = 14,918.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.