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Finding the Third Proportional to 16,863 and 25,294

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Solution

The third proportional to 16,863 and 25,294 is: 37,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863 : 25,294 = 25,294 : x
  2. Step 2: Convert to fraction form
    16,863/25,294 = 25,294/x
  3. Step 3: Cross multiply
    16,863x = 25,294 × 25,294
  4. Step 4: Simplify right side
    16,863x = 639,786,436
  5. Step 5: Solve for x
    x = 639,786,436/16,863
  6. Step 6: Final answer
    x = 37,940.25

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