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Finding the Third Proportional to 5,184.56 and 8,040.94

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Solution

The third proportional to 5,184.56 and 8,040.94 is: 12,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.56 : 8,040.94 = 8,040.94 : x
  2. Step 2: Convert to fraction form
    5,184.56/8,040.94 = 8,040.94/x
  3. Step 3: Cross multiply
    5,184.56x = 8,040.94 × 8,040.94
  4. Step 4: Simplify right side
    5,184.56x = 64,656,675.88
  5. Step 5: Solve for x
    x = 64,656,675.88/5,184.56
  6. Step 6: Final answer
    x = 12,471.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.