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Finding the Third Proportional to 6,162 and 8,608.50

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Solution

The third proportional to 6,162 and 8,608.50 is: 12,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162 : 8,608.50 = 8,608.50 : x
  2. Step 2: Convert to fraction form
    6,162/8,608.50 = 8,608.50/x
  3. Step 3: Cross multiply
    6,162x = 8,608.50 × 8,608.50
  4. Step 4: Simplify right side
    6,162x = 74,106,272.25
  5. Step 5: Solve for x
    x = 74,106,272.25/6,162
  6. Step 6: Final answer
    x = 12,026.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.