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Finding the Third Proportional to 6,234 and 13,636

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Solution

The third proportional to 6,234 and 13,636 is: 29,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 13,636 = 13,636 : x
  2. Step 2: Convert to fraction form
    6,234/13,636 = 13,636/x
  3. Step 3: Cross multiply
    6,234x = 13,636 × 13,636
  4. Step 4: Simplify right side
    6,234x = 185,940,496
  5. Step 5: Solve for x
    x = 185,940,496/6,234
  6. Step 6: Final answer
    x = 29,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.