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Finding the Third Proportional to 6,237.84 and 13,629.09

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Solution

The third proportional to 6,237.84 and 13,629.09 is: 29,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.84 : 13,629.09 = 13,629.09 : x
  2. Step 2: Convert to fraction form
    6,237.84/13,629.09 = 13,629.09/x
  3. Step 3: Cross multiply
    6,237.84x = 13,629.09 × 13,629.09
  4. Step 4: Simplify right side
    6,237.84x = 185,752,196.45
  5. Step 5: Solve for x
    x = 185,752,196.45/6,237.84
  6. Step 6: Final answer
    x = 29,778.27

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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.