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Finding the Third Proportional to 3,967.31 and 8,626.50

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Solution

The third proportional to 3,967.31 and 8,626.50 is: 18,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.31 : 8,626.50 = 8,626.50 : x
  2. Step 2: Convert to fraction form
    3,967.31/8,626.50 = 8,626.50/x
  3. Step 3: Cross multiply
    3,967.31x = 8,626.50 × 8,626.50
  4. Step 4: Simplify right side
    3,967.31x = 74,416,502.25
  5. Step 5: Solve for x
    x = 74,416,502.25/3,967.31
  6. Step 6: Final answer
    x = 18,757.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.