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Finding the Third Proportional to 2,824 and 6,188

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Solution

The third proportional to 2,824 and 6,188 is: 13,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 6,188 = 6,188 : x
  2. Step 2: Convert to fraction form
    2,824/6,188 = 6,188/x
  3. Step 3: Cross multiply
    2,824x = 6,188 × 6,188
  4. Step 4: Simplify right side
    2,824x = 38,291,344
  5. Step 5: Solve for x
    x = 38,291,344/2,824
  6. Step 6: Final answer
    x = 13,559.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.