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Finding the Third Proportional to 6,571.44 and 14,182.28

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Solution

The third proportional to 6,571.44 and 14,182.28 is: 30,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.44 : 14,182.28 = 14,182.28 : x
  2. Step 2: Convert to fraction form
    6,571.44/14,182.28 = 14,182.28/x
  3. Step 3: Cross multiply
    6,571.44x = 14,182.28 × 14,182.28
  4. Step 4: Simplify right side
    6,571.44x = 201,136,990.66
  5. Step 5: Solve for x
    x = 201,136,990.66/6,571.44
  6. Step 6: Final answer
    x = 30,607.74

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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.