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Finding the Third Proportional to 6,615.74 and 14,190.82

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Solution

The third proportional to 6,615.74 and 14,190.82 is: 30,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.74 : 14,190.82 = 14,190.82 : x
  2. Step 2: Convert to fraction form
    6,615.74/14,190.82 = 14,190.82/x
  3. Step 3: Cross multiply
    6,615.74x = 14,190.82 × 14,190.82
  4. Step 4: Simplify right side
    6,615.74x = 201,379,381.14
  5. Step 5: Solve for x
    x = 201,379,381.14/6,615.74
  6. Step 6: Final answer
    x = 30,439.44

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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.