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Finding the Third Proportional to 3,410.54 and 7,234.00

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Solution

The third proportional to 3,410.54 and 7,234.00 is: 15,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.54 : 7,234.00 = 7,234.00 : x
  2. Step 2: Convert to fraction form
    3,410.54/7,234.00 = 7,234.00/x
  3. Step 3: Cross multiply
    3,410.54x = 7,234.00 × 7,234.00
  4. Step 4: Simplify right side
    3,410.54x = 52,330,699.48
  5. Step 5: Solve for x
    x = 52,330,699.48/3,410.54
  6. Step 6: Final answer
    x = 15,343.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.