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Finding the Third Proportional to 6,238 and 13,477

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Solution

The third proportional to 6,238 and 13,477 is: 29,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 13,477 = 13,477 : x
  2. Step 2: Convert to fraction form
    6,238/13,477 = 13,477/x
  3. Step 3: Cross multiply
    6,238x = 13,477 × 13,477
  4. Step 4: Simplify right side
    6,238x = 181,629,529
  5. Step 5: Solve for x
    x = 181,629,529/6,238
  6. Step 6: Final answer
    x = 29,116.63

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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.