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Finding the Third Proportional to 6,234.47 and 14,872.36

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Solution

The third proportional to 6,234.47 and 14,872.36 is: 35,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.47 : 14,872.36 = 14,872.36 : x
  2. Step 2: Convert to fraction form
    6,234.47/14,872.36 = 14,872.36/x
  3. Step 3: Cross multiply
    6,234.47x = 14,872.36 × 14,872.36
  4. Step 4: Simplify right side
    6,234.47x = 221,187,073.38
  5. Step 5: Solve for x
    x = 221,187,073.38/6,234.47
  6. Step 6: Final answer
    x = 35,478.09

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.