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Finding the Third Proportional to 13,984 and 21,612

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Solution

The third proportional to 13,984 and 21,612 is: 33,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 21,612 = 21,612 : x
  2. Step 2: Convert to fraction form
    13,984/21,612 = 21,612/x
  3. Step 3: Cross multiply
    13,984x = 21,612 × 21,612
  4. Step 4: Simplify right side
    13,984x = 467,078,544
  5. Step 5: Solve for x
    x = 467,078,544/13,984
  6. Step 6: Final answer
    x = 33,400.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.