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Finding the Third Proportional to 14,131 and 30,692

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Solution

The third proportional to 14,131 and 30,692 is: 66,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131 : 30,692 = 30,692 : x
  2. Step 2: Convert to fraction form
    14,131/30,692 = 30,692/x
  3. Step 3: Cross multiply
    14,131x = 30,692 × 30,692
  4. Step 4: Simplify right side
    14,131x = 941,998,864
  5. Step 5: Solve for x
    x = 941,998,864/14,131
  6. Step 6: Final answer
    x = 66,661.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.