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Finding the Third Proportional to 14,138 and 21,239

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Solution

The third proportional to 14,138 and 21,239 is: 31,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 21,239 = 21,239 : x
  2. Step 2: Convert to fraction form
    14,138/21,239 = 21,239/x
  3. Step 3: Cross multiply
    14,138x = 21,239 × 21,239
  4. Step 4: Simplify right side
    14,138x = 451,095,121
  5. Step 5: Solve for x
    x = 451,095,121/14,138
  6. Step 6: Final answer
    x = 31,906.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.