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Finding the Third Proportional to 6,174.70 and 13,321.41

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Solution

The third proportional to 6,174.70 and 13,321.41 is: 28,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.70 : 13,321.41 = 13,321.41 : x
  2. Step 2: Convert to fraction form
    6,174.70/13,321.41 = 13,321.41/x
  3. Step 3: Cross multiply
    6,174.70x = 13,321.41 × 13,321.41
  4. Step 4: Simplify right side
    6,174.70x = 177,459,864.48
  5. Step 5: Solve for x
    x = 177,459,864.48/6,174.70
  6. Step 6: Final answer
    x = 28,739.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.