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Finding the Third Proportional to 2,647.50 and 6,155.44

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Solution

The third proportional to 2,647.50 and 6,155.44 is: 14,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.50 : 6,155.44 = 6,155.44 : x
  2. Step 2: Convert to fraction form
    2,647.50/6,155.44 = 6,155.44/x
  3. Step 3: Cross multiply
    2,647.50x = 6,155.44 × 6,155.44
  4. Step 4: Simplify right side
    2,647.50x = 37,889,410.82
  5. Step 5: Solve for x
    x = 37,889,410.82/2,647.50
  6. Step 6: Final answer
    x = 14,311.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.