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Finding the Third Proportional to 14,192 and 21,149

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Solution

The third proportional to 14,192 and 21,149 is: 31,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192 : 21,149 = 21,149 : x
  2. Step 2: Convert to fraction form
    14,192/21,149 = 21,149/x
  3. Step 3: Cross multiply
    14,192x = 21,149 × 21,149
  4. Step 4: Simplify right side
    14,192x = 447,280,201
  5. Step 5: Solve for x
    x = 447,280,201/14,192
  6. Step 6: Final answer
    x = 31,516.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.