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Finding the Third Proportional to 2,611.83 and 4,047.05

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Solution

The third proportional to 2,611.83 and 4,047.05 is: 6,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.83 : 4,047.05 = 4,047.05 : x
  2. Step 2: Convert to fraction form
    2,611.83/4,047.05 = 4,047.05/x
  3. Step 3: Cross multiply
    2,611.83x = 4,047.05 × 4,047.05
  4. Step 4: Simplify right side
    2,611.83x = 16,378,588.41
  5. Step 5: Solve for x
    x = 16,378,588.41/2,611.83
  6. Step 6: Final answer
    x = 6,270.93

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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.