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Finding the Third Proportional to 2,489.06 and 5,367.94

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Solution

The third proportional to 2,489.06 and 5,367.94 is: 11,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.06 : 5,367.94 = 5,367.94 : x
  2. Step 2: Convert to fraction form
    2,489.06/5,367.94 = 5,367.94/x
  3. Step 3: Cross multiply
    2,489.06x = 5,367.94 × 5,367.94
  4. Step 4: Simplify right side
    2,489.06x = 28,814,753.00
  5. Step 5: Solve for x
    x = 28,814,753.00/2,489.06
  6. Step 6: Final answer
    x = 11,576.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.