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Finding the Third Proportional to 13,616 and 21,397

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Solution

The third proportional to 13,616 and 21,397 is: 33,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616 : 21,397 = 21,397 : x
  2. Step 2: Convert to fraction form
    13,616/21,397 = 21,397/x
  3. Step 3: Cross multiply
    13,616x = 21,397 × 21,397
  4. Step 4: Simplify right side
    13,616x = 457,831,609
  5. Step 5: Solve for x
    x = 457,831,609/13,616
  6. Step 6: Final answer
    x = 33,624.53

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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.