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Finding the Third Proportional to 8,412.75 and 11,796.25

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Solution

The third proportional to 8,412.75 and 11,796.25 is: 16,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.75 : 11,796.25 = 11,796.25 : x
  2. Step 2: Convert to fraction form
    8,412.75/11,796.25 = 11,796.25/x
  3. Step 3: Cross multiply
    8,412.75x = 11,796.25 × 11,796.25
  4. Step 4: Simplify right side
    8,412.75x = 139,151,514.06
  5. Step 5: Solve for x
    x = 139,151,514.06/8,412.75
  6. Step 6: Final answer
    x = 16,540.55

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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.