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Finding the Third Proportional to 13,864 and 16,294

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Solution

The third proportional to 13,864 and 16,294 is: 19,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 16,294 = 16,294 : x
  2. Step 2: Convert to fraction form
    13,864/16,294 = 16,294/x
  3. Step 3: Cross multiply
    13,864x = 16,294 × 16,294
  4. Step 4: Simplify right side
    13,864x = 265,494,436
  5. Step 5: Solve for x
    x = 265,494,436/13,864
  6. Step 6: Final answer
    x = 19,149.92

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.