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Finding the Third Proportional to 6,039 and 12,733

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Solution

The third proportional to 6,039 and 12,733 is: 26,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039 : 12,733 = 12,733 : x
  2. Step 2: Convert to fraction form
    6,039/12,733 = 12,733/x
  3. Step 3: Cross multiply
    6,039x = 12,733 × 12,733
  4. Step 4: Simplify right side
    6,039x = 162,129,289
  5. Step 5: Solve for x
    x = 162,129,289/6,039
  6. Step 6: Final answer
    x = 26,847.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.