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Finding the Third Proportional to 6,239.21 and 13,401.07

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Solution

The third proportional to 6,239.21 and 13,401.07 is: 28,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.21 : 13,401.07 = 13,401.07 : x
  2. Step 2: Convert to fraction form
    6,239.21/13,401.07 = 13,401.07/x
  3. Step 3: Cross multiply
    6,239.21x = 13,401.07 × 13,401.07
  4. Step 4: Simplify right side
    6,239.21x = 179,588,685.52
  5. Step 5: Solve for x
    x = 179,588,685.52/6,239.21
  6. Step 6: Final answer
    x = 28,783.86

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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.