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Finding the Third Proportional to 13,998 and 21,611

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Solution

The third proportional to 13,998 and 21,611 is: 33,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 21,611 = 21,611 : x
  2. Step 2: Convert to fraction form
    13,998/21,611 = 21,611/x
  3. Step 3: Cross multiply
    13,998x = 21,611 × 21,611
  4. Step 4: Simplify right side
    13,998x = 467,035,321
  5. Step 5: Solve for x
    x = 467,035,321/13,998
  6. Step 6: Final answer
    x = 33,364.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.