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Finding the Third Proportional to 14,261 and 30,667

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Solution

The third proportional to 14,261 and 30,667 is: 65,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261 : 30,667 = 30,667 : x
  2. Step 2: Convert to fraction form
    14,261/30,667 = 30,667/x
  3. Step 3: Cross multiply
    14,261x = 30,667 × 30,667
  4. Step 4: Simplify right side
    14,261x = 940,464,889
  5. Step 5: Solve for x
    x = 940,464,889/14,261
  6. Step 6: Final answer
    x = 65,946.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.