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Finding the Third Proportional to 17,084 and 25,653

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Solution

The third proportional to 17,084 and 25,653 is: 38,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084 : 25,653 = 25,653 : x
  2. Step 2: Convert to fraction form
    17,084/25,653 = 25,653/x
  3. Step 3: Cross multiply
    17,084x = 25,653 × 25,653
  4. Step 4: Simplify right side
    17,084x = 658,076,409
  5. Step 5: Solve for x
    x = 658,076,409/17,084
  6. Step 6: Final answer
    x = 38,520.04

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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.