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Finding the Third Proportional to 17,104 and 19,624

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Solution

The third proportional to 17,104 and 19,624 is: 22,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104 : 19,624 = 19,624 : x
  2. Step 2: Convert to fraction form
    17,104/19,624 = 19,624/x
  3. Step 3: Cross multiply
    17,104x = 19,624 × 19,624
  4. Step 4: Simplify right side
    17,104x = 385,101,376
  5. Step 5: Solve for x
    x = 385,101,376/17,104
  6. Step 6: Final answer
    x = 22,515.28

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.