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Finding the Third Proportional to 13,504 and 21,136

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Solution

The third proportional to 13,504 and 21,136 is: 33,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 21,136 = 21,136 : x
  2. Step 2: Convert to fraction form
    13,504/21,136 = 21,136/x
  3. Step 3: Cross multiply
    13,504x = 21,136 × 21,136
  4. Step 4: Simplify right side
    13,504x = 446,730,496
  5. Step 5: Solve for x
    x = 446,730,496/13,504
  6. Step 6: Final answer
    x = 33,081.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.