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Finding the Third Proportional to 2,834.50 and 6,034.50

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Solution

The third proportional to 2,834.50 and 6,034.50 is: 12,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.50 : 6,034.50 = 6,034.50 : x
  2. Step 2: Convert to fraction form
    2,834.50/6,034.50 = 6,034.50/x
  3. Step 3: Cross multiply
    2,834.50x = 6,034.50 × 6,034.50
  4. Step 4: Simplify right side
    2,834.50x = 36,415,190.25
  5. Step 5: Solve for x
    x = 36,415,190.25/2,834.50
  6. Step 6: Final answer
    x = 12,847.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.