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Finding the Third Proportional to 5,651.44 and 8,608.78

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Solution

The third proportional to 5,651.44 and 8,608.78 is: 13,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.44 : 8,608.78 = 8,608.78 : x
  2. Step 2: Convert to fraction form
    5,651.44/8,608.78 = 8,608.78/x
  3. Step 3: Cross multiply
    5,651.44x = 8,608.78 × 8,608.78
  4. Step 4: Simplify right side
    5,651.44x = 74,111,114.61
  5. Step 5: Solve for x
    x = 74,111,114.61/5,651.44
  6. Step 6: Final answer
    x = 13,113.67

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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.