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Finding the Third Proportional to 14,314.22 and 20,617.03

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Solution

The third proportional to 14,314.22 and 20,617.03 is: 29,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.22 : 20,617.03 = 20,617.03 : x
  2. Step 2: Convert to fraction form
    14,314.22/20,617.03 = 20,617.03/x
  3. Step 3: Cross multiply
    14,314.22x = 20,617.03 × 20,617.03
  4. Step 4: Simplify right side
    14,314.22x = 425,061,977.56
  5. Step 5: Solve for x
    x = 425,061,977.56/14,314.22
  6. Step 6: Final answer
    x = 29,695.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.