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Finding the Third Proportional to 12,186 and 16,294

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Solution

The third proportional to 12,186 and 16,294 is: 21,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 16,294 = 16,294 : x
  2. Step 2: Convert to fraction form
    12,186/16,294 = 16,294/x
  3. Step 3: Cross multiply
    12,186x = 16,294 × 16,294
  4. Step 4: Simplify right side
    12,186x = 265,494,436
  5. Step 5: Solve for x
    x = 265,494,436/12,186
  6. Step 6: Final answer
    x = 21,786.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.