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Finding the Third Proportional to 11,968.88 and 25,714.69

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Solution

The third proportional to 11,968.88 and 25,714.69 is: 55,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.88 : 25,714.69 = 25,714.69 : x
  2. Step 2: Convert to fraction form
    11,968.88/25,714.69 = 25,714.69/x
  3. Step 3: Cross multiply
    11,968.88x = 25,714.69 × 25,714.69
  4. Step 4: Simplify right side
    11,968.88x = 661,245,153.22
  5. Step 5: Solve for x
    x = 661,245,153.22/11,968.88
  6. Step 6: Final answer
    x = 55,247.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.