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Finding the Third Proportional to 6,571.69 and 10,182.09

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Solution

The third proportional to 6,571.69 and 10,182.09 is: 15,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.69 : 10,182.09 = 10,182.09 : x
  2. Step 2: Convert to fraction form
    6,571.69/10,182.09 = 10,182.09/x
  3. Step 3: Cross multiply
    6,571.69x = 10,182.09 × 10,182.09
  4. Step 4: Simplify right side
    6,571.69x = 103,675,033.13
  5. Step 5: Solve for x
    x = 103,675,033.13/6,571.69
  6. Step 6: Final answer
    x = 15,776.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.