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Finding the Third Proportional to 2,824 and 5,093

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Solution

The third proportional to 2,824 and 5,093 is: 9,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 5,093 = 5,093 : x
  2. Step 2: Convert to fraction form
    2,824/5,093 = 5,093/x
  3. Step 3: Cross multiply
    2,824x = 5,093 × 5,093
  4. Step 4: Simplify right side
    2,824x = 25,938,649
  5. Step 5: Solve for x
    x = 25,938,649/2,824
  6. Step 6: Final answer
    x = 9,185.07

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.