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Finding the Third Proportional to 13,136 and 25,616

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Solution

The third proportional to 13,136 and 25,616 is: 49,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136 : 25,616 = 25,616 : x
  2. Step 2: Convert to fraction form
    13,136/25,616 = 25,616/x
  3. Step 3: Cross multiply
    13,136x = 25,616 × 25,616
  4. Step 4: Simplify right side
    13,136x = 656,179,456
  5. Step 5: Solve for x
    x = 656,179,456/13,136
  6. Step 6: Final answer
    x = 49,952.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.