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Finding the Third Proportional to 2,751 and 6,048.50

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Solution

The third proportional to 2,751 and 6,048.50 is: 13,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751 : 6,048.50 = 6,048.50 : x
  2. Step 2: Convert to fraction form
    2,751/6,048.50 = 6,048.50/x
  3. Step 3: Cross multiply
    2,751x = 6,048.50 × 6,048.50
  4. Step 4: Simplify right side
    2,751x = 36,584,352.25
  5. Step 5: Solve for x
    x = 36,584,352.25/2,751
  6. Step 6: Final answer
    x = 13,298.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.