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Finding the Third Proportional to 10,424 and 13,194

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Solution

The third proportional to 10,424 and 13,194 is: 16,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 13,194 = 13,194 : x
  2. Step 2: Convert to fraction form
    10,424/13,194 = 13,194/x
  3. Step 3: Cross multiply
    10,424x = 13,194 × 13,194
  4. Step 4: Simplify right side
    10,424x = 174,081,636
  5. Step 5: Solve for x
    x = 174,081,636/10,424
  6. Step 6: Final answer
    x = 16,700.08

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.