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Finding the Third Proportional to 6,228 and 6,768

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Solution

The third proportional to 6,228 and 6,768 is: 7,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 6,768 = 6,768 : x
  2. Step 2: Convert to fraction form
    6,228/6,768 = 6,768/x
  3. Step 3: Cross multiply
    6,228x = 6,768 × 6,768
  4. Step 4: Simplify right side
    6,228x = 45,805,824
  5. Step 5: Solve for x
    x = 45,805,824/6,228
  6. Step 6: Final answer
    x = 7,354.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.