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Finding the Third Proportional to 6,237.84 and 13,704.19

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Solution

The third proportional to 6,237.84 and 13,704.19 is: 30,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.84 : 13,704.19 = 13,704.19 : x
  2. Step 2: Convert to fraction form
    6,237.84/13,704.19 = 13,704.19/x
  3. Step 3: Cross multiply
    6,237.84x = 13,704.19 × 13,704.19
  4. Step 4: Simplify right side
    6,237.84x = 187,804,755.04
  5. Step 5: Solve for x
    x = 187,804,755.04/6,237.84
  6. Step 6: Final answer
    x = 30,107.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.