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Finding the Third Proportional to 6,726.75 and 14,683.03

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Solution

The third proportional to 6,726.75 and 14,683.03 is: 32,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.75 : 14,683.03 = 14,683.03 : x
  2. Step 2: Convert to fraction form
    6,726.75/14,683.03 = 14,683.03/x
  3. Step 3: Cross multiply
    6,726.75x = 14,683.03 × 14,683.03
  4. Step 4: Simplify right side
    6,726.75x = 215,591,406.69
  5. Step 5: Solve for x
    x = 215,591,406.69/6,726.75
  6. Step 6: Final answer
    x = 32,049.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.