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Finding the Third Proportional to 5,679.56 and 8,621.53

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Solution

The third proportional to 5,679.56 and 8,621.53 is: 13,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.56 : 8,621.53 = 8,621.53 : x
  2. Step 2: Convert to fraction form
    5,679.56/8,621.53 = 8,621.53/x
  3. Step 3: Cross multiply
    5,679.56x = 8,621.53 × 8,621.53
  4. Step 4: Simplify right side
    5,679.56x = 74,330,801.09
  5. Step 5: Solve for x
    x = 74,330,801.09/5,679.56
  6. Step 6: Final answer
    x = 13,087.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.