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Finding the Third Proportional to 12,594.23 and 27,491.27

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Solution

The third proportional to 12,594.23 and 27,491.27 is: 60,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.23 : 27,491.27 = 27,491.27 : x
  2. Step 2: Convert to fraction form
    12,594.23/27,491.27 = 27,491.27/x
  3. Step 3: Cross multiply
    12,594.23x = 27,491.27 × 27,491.27
  4. Step 4: Simplify right side
    12,594.23x = 755,770,115.22
  5. Step 5: Solve for x
    x = 755,770,115.22/12,594.23
  6. Step 6: Final answer
    x = 60,009.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.