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Finding the Third Proportional to 14,047 and 21,161

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Solution

The third proportional to 14,047 and 21,161 is: 31,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047 : 21,161 = 21,161 : x
  2. Step 2: Convert to fraction form
    14,047/21,161 = 21,161/x
  3. Step 3: Cross multiply
    14,047x = 21,161 × 21,161
  4. Step 4: Simplify right side
    14,047x = 447,787,921
  5. Step 5: Solve for x
    x = 447,787,921/14,047
  6. Step 6: Final answer
    x = 31,877.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.