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Finding the Third Proportional to 13,662.75 and 32,239.88

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Solution

The third proportional to 13,662.75 and 32,239.88 is: 76,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.75 : 32,239.88 = 32,239.88 : x
  2. Step 2: Convert to fraction form
    13,662.75/32,239.88 = 32,239.88/x
  3. Step 3: Cross multiply
    13,662.75x = 32,239.88 × 32,239.88
  4. Step 4: Simplify right side
    13,662.75x = 1,039,409,540.02
  5. Step 5: Solve for x
    x = 1,039,409,540.02/13,662.75
  6. Step 6: Final answer
    x = 76,076.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.