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Finding the Third Proportional to 3,138 and 6,769.50

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Solution

The third proportional to 3,138 and 6,769.50 is: 14,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 6,769.50 = 6,769.50 : x
  2. Step 2: Convert to fraction form
    3,138/6,769.50 = 6,769.50/x
  3. Step 3: Cross multiply
    3,138x = 6,769.50 × 6,769.50
  4. Step 4: Simplify right side
    3,138x = 45,826,130.25
  5. Step 5: Solve for x
    x = 45,826,130.25/3,138
  6. Step 6: Final answer
    x = 14,603.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.