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Finding the Third Proportional to 17,984 and 19,616

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Solution

The third proportional to 17,984 and 19,616 is: 21,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 19,616 = 19,616 : x
  2. Step 2: Convert to fraction form
    17,984/19,616 = 19,616/x
  3. Step 3: Cross multiply
    17,984x = 19,616 × 19,616
  4. Step 4: Simplify right side
    17,984x = 384,787,456
  5. Step 5: Solve for x
    x = 384,787,456/17,984
  6. Step 6: Final answer
    x = 21,396.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.