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Finding the Third Proportional to 2,684.06 and 5,765.06

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Solution

The third proportional to 2,684.06 and 5,765.06 is: 12,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.06 : 5,765.06 = 5,765.06 : x
  2. Step 2: Convert to fraction form
    2,684.06/5,765.06 = 5,765.06/x
  3. Step 3: Cross multiply
    2,684.06x = 5,765.06 × 5,765.06
  4. Step 4: Simplify right side
    2,684.06x = 33,235,945.63
  5. Step 5: Solve for x
    x = 33,235,945.63/2,684.06
  6. Step 6: Final answer
    x = 12,382.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.