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Finding the Third Proportional to 3,410.23 and 7,537.43

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Solution

The third proportional to 3,410.23 and 7,537.43 is: 16,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.23 : 7,537.43 = 7,537.43 : x
  2. Step 2: Convert to fraction form
    3,410.23/7,537.43 = 7,537.43/x
  3. Step 3: Cross multiply
    3,410.23x = 7,537.43 × 7,537.43
  4. Step 4: Simplify right side
    3,410.23x = 56,812,846.29
  5. Step 5: Solve for x
    x = 56,812,846.29/3,410.23
  6. Step 6: Final answer
    x = 16,659.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.