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Finding the Third Proportional to 6,207.89 and 13,133.39

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Solution

The third proportional to 6,207.89 and 13,133.39 is: 27,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.89 : 13,133.39 = 13,133.39 : x
  2. Step 2: Convert to fraction form
    6,207.89/13,133.39 = 13,133.39/x
  3. Step 3: Cross multiply
    6,207.89x = 13,133.39 × 13,133.39
  4. Step 4: Simplify right side
    6,207.89x = 172,485,949.31
  5. Step 5: Solve for x
    x = 172,485,949.31/6,207.89
  6. Step 6: Final answer
    x = 27,784.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.