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Finding the Third Proportional to 12,824 and 27,664

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Solution

The third proportional to 12,824 and 27,664 is: 59,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 27,664 = 27,664 : x
  2. Step 2: Convert to fraction form
    12,824/27,664 = 27,664/x
  3. Step 3: Cross multiply
    12,824x = 27,664 × 27,664
  4. Step 4: Simplify right side
    12,824x = 765,296,896
  5. Step 5: Solve for x
    x = 765,296,896/12,824
  6. Step 6: Final answer
    x = 59,676.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.