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Finding the Third Proportional to 8,342.21 and 13,416.73

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Solution

The third proportional to 8,342.21 and 13,416.73 is: 21,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.21 : 13,416.73 = 13,416.73 : x
  2. Step 2: Convert to fraction form
    8,342.21/13,416.73 = 13,416.73/x
  3. Step 3: Cross multiply
    8,342.21x = 13,416.73 × 13,416.73
  4. Step 4: Simplify right side
    8,342.21x = 180,008,708.88
  5. Step 5: Solve for x
    x = 180,008,708.88/8,342.21
  6. Step 6: Final answer
    x = 21,578.06

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.