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Finding the Third Proportional to 12,803 and 27,739

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Solution

The third proportional to 12,803 and 27,739 is: 60,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803 : 27,739 = 27,739 : x
  2. Step 2: Convert to fraction form
    12,803/27,739 = 27,739/x
  3. Step 3: Cross multiply
    12,803x = 27,739 × 27,739
  4. Step 4: Simplify right side
    12,803x = 769,452,121
  5. Step 5: Solve for x
    x = 769,452,121/12,803
  6. Step 6: Final answer
    x = 60,099.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.