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Finding the Third Proportional to 5,757.75 and 14,002.88

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Solution

The third proportional to 5,757.75 and 14,002.88 is: 34,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 14,002.88 = 14,002.88 : x
  2. Step 2: Convert to fraction form
    5,757.75/14,002.88 = 14,002.88/x
  3. Step 3: Cross multiply
    5,757.75x = 14,002.88 × 14,002.88
  4. Step 4: Simplify right side
    5,757.75x = 196,080,508.27
  5. Step 5: Solve for x
    x = 196,080,508.27/5,757.75
  6. Step 6: Final answer
    x = 34,055.06

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.