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Finding the Third Proportional to 14,636 and 21,628

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Solution

The third proportional to 14,636 and 21,628 is: 31,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636 : 21,628 = 21,628 : x
  2. Step 2: Convert to fraction form
    14,636/21,628 = 21,628/x
  3. Step 3: Cross multiply
    14,636x = 21,628 × 21,628
  4. Step 4: Simplify right side
    14,636x = 467,770,384
  5. Step 5: Solve for x
    x = 467,770,384/14,636
  6. Step 6: Final answer
    x = 31,960.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.