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Finding the Third Proportional to 2,831 and 6,026.50

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Solution

The third proportional to 2,831 and 6,026.50 is: 12,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831 : 6,026.50 = 6,026.50 : x
  2. Step 2: Convert to fraction form
    2,831/6,026.50 = 6,026.50/x
  3. Step 3: Cross multiply
    2,831x = 6,026.50 × 6,026.50
  4. Step 4: Simplify right side
    2,831x = 36,318,702.25
  5. Step 5: Solve for x
    x = 36,318,702.25/2,831
  6. Step 6: Final answer
    x = 12,828.93

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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.