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Finding the Third Proportional to 2,499.31 and 5,786.03

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Solution

The third proportional to 2,499.31 and 5,786.03 is: 13,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.31 : 5,786.03 = 5,786.03 : x
  2. Step 2: Convert to fraction form
    2,499.31/5,786.03 = 5,786.03/x
  3. Step 3: Cross multiply
    2,499.31x = 5,786.03 × 5,786.03
  4. Step 4: Simplify right side
    2,499.31x = 33,478,157.63
  5. Step 5: Solve for x
    x = 33,478,157.63/2,499.31
  6. Step 6: Final answer
    x = 13,394.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.