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Finding the Third Proportional to 6,431.91 and 14,026.61

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Solution

The third proportional to 6,431.91 and 14,026.61 is: 30,589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.91 : 14,026.61 = 14,026.61 : x
  2. Step 2: Convert to fraction form
    6,431.91/14,026.61 = 14,026.61/x
  3. Step 3: Cross multiply
    6,431.91x = 14,026.61 × 14,026.61
  4. Step 4: Simplify right side
    6,431.91x = 196,745,660.98
  5. Step 5: Solve for x
    x = 196,745,660.98/6,431.91
  6. Step 6: Final answer
    x = 30,589.01

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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.