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Finding the Third Proportional to 2,673.56 and 6,440.91

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Solution

The third proportional to 2,673.56 and 6,440.91 is: 15,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.56 : 6,440.91 = 6,440.91 : x
  2. Step 2: Convert to fraction form
    2,673.56/6,440.91 = 6,440.91/x
  3. Step 3: Cross multiply
    2,673.56x = 6,440.91 × 6,440.91
  4. Step 4: Simplify right side
    2,673.56x = 41,485,273.32
  5. Step 5: Solve for x
    x = 41,485,273.32/2,673.56
  6. Step 6: Final answer
    x = 15,516.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.