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Finding the Third Proportional to 8,383.36 and 11,750.06

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Solution

The third proportional to 8,383.36 and 11,750.06 is: 16,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.36 : 11,750.06 = 11,750.06 : x
  2. Step 2: Convert to fraction form
    8,383.36/11,750.06 = 11,750.06/x
  3. Step 3: Cross multiply
    8,383.36x = 11,750.06 × 11,750.06
  4. Step 4: Simplify right side
    8,383.36x = 138,063,968.75
  5. Step 5: Solve for x
    x = 138,063,968.75/8,383.36
  6. Step 6: Final answer
    x = 16,468.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.