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Finding the Third Proportional to 5,410.55 and 8,094.30

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Solution

The third proportional to 5,410.55 and 8,094.30 is: 12,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.55 : 8,094.30 = 8,094.30 : x
  2. Step 2: Convert to fraction form
    5,410.55/8,094.30 = 8,094.30/x
  3. Step 3: Cross multiply
    5,410.55x = 8,094.30 × 8,094.30
  4. Step 4: Simplify right side
    5,410.55x = 65,517,768.37
  5. Step 5: Solve for x
    x = 65,517,768.37/5,410.55
  6. Step 6: Final answer
    x = 12,109.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.