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Finding the Third Proportional to 10,669 and 14,274

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Solution

The third proportional to 10,669 and 14,274 is: 19,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669 : 14,274 = 14,274 : x
  2. Step 2: Convert to fraction form
    10,669/14,274 = 14,274/x
  3. Step 3: Cross multiply
    10,669x = 14,274 × 14,274
  4. Step 4: Simplify right side
    10,669x = 203,747,076
  5. Step 5: Solve for x
    x = 203,747,076/10,669
  6. Step 6: Final answer
    x = 19,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.