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Finding the Third Proportional to 8,910.56 and 14,014.97

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Solution

The third proportional to 8,910.56 and 14,014.97 is: 22,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.56 : 14,014.97 = 14,014.97 : x
  2. Step 2: Convert to fraction form
    8,910.56/14,014.97 = 14,014.97/x
  3. Step 3: Cross multiply
    8,910.56x = 14,014.97 × 14,014.97
  4. Step 4: Simplify right side
    8,910.56x = 196,419,349.06
  5. Step 5: Solve for x
    x = 196,419,349.06/8,910.56
  6. Step 6: Final answer
    x = 22,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.