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Finding the Third Proportional to 15,015 and 21,628

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Solution

The third proportional to 15,015 and 21,628 is: 31,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,015 : 21,628 = 21,628 : x
  2. Step 2: Convert to fraction form
    15,015/21,628 = 21,628/x
  3. Step 3: Cross multiply
    15,015x = 21,628 × 21,628
  4. Step 4: Simplify right side
    15,015x = 467,770,384
  5. Step 5: Solve for x
    x = 467,770,384/15,015
  6. Step 6: Final answer
    x = 31,153.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.