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Finding the Third Proportional to 8,634 and 13,194

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Solution

The third proportional to 8,634 and 13,194 is: 20,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634 : 13,194 = 13,194 : x
  2. Step 2: Convert to fraction form
    8,634/13,194 = 13,194/x
  3. Step 3: Cross multiply
    8,634x = 13,194 × 13,194
  4. Step 4: Simplify right side
    8,634x = 174,081,636
  5. Step 5: Solve for x
    x = 174,081,636/8,634
  6. Step 6: Final answer
    x = 20,162.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.