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Finding the Third Proportional to 2,824 and 6,128

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Solution

The third proportional to 2,824 and 6,128 is: 13,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 6,128 = 6,128 : x
  2. Step 2: Convert to fraction form
    2,824/6,128 = 6,128/x
  3. Step 3: Cross multiply
    2,824x = 6,128 × 6,128
  4. Step 4: Simplify right side
    2,824x = 37,552,384
  5. Step 5: Solve for x
    x = 37,552,384/2,824
  6. Step 6: Final answer
    x = 13,297.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.