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Finding the Third Proportional to 13,000 and 19,616

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Solution

The third proportional to 13,000 and 19,616 is: 29,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 19,616 = 19,616 : x
  2. Step 2: Convert to fraction form
    13,000/19,616 = 19,616/x
  3. Step 3: Cross multiply
    13,000x = 19,616 × 19,616
  4. Step 4: Simplify right side
    13,000x = 384,787,456
  5. Step 5: Solve for x
    x = 384,787,456/13,000
  6. Step 6: Final answer
    x = 29,599.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.