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Finding the Third Proportional to 27,824 and 41,728

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Solution

The third proportional to 27,824 and 41,728 is: 62,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 41,728 = 41,728 : x
  2. Step 2: Convert to fraction form
    27,824/41,728 = 41,728/x
  3. Step 3: Cross multiply
    27,824x = 41,728 × 41,728
  4. Step 4: Simplify right side
    27,824x = 1,741,225,984
  5. Step 5: Solve for x
    x = 1,741,225,984/27,824
  6. Step 6: Final answer
    x = 62,580.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.