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Finding the Third Proportional to 5,638 and 6,268

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Solution

The third proportional to 5,638 and 6,268 is: 6,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 6,268 = 6,268 : x
  2. Step 2: Convert to fraction form
    5,638/6,268 = 6,268/x
  3. Step 3: Cross multiply
    5,638x = 6,268 × 6,268
  4. Step 4: Simplify right side
    5,638x = 39,287,824
  5. Step 5: Solve for x
    x = 39,287,824/5,638
  6. Step 6: Final answer
    x = 6,968.40

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.