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Finding the Third Proportional to 6,769 and 7,219

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Solution

The third proportional to 6,769 and 7,219 is: 7,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769 : 7,219 = 7,219 : x
  2. Step 2: Convert to fraction form
    6,769/7,219 = 7,219/x
  3. Step 3: Cross multiply
    6,769x = 7,219 × 7,219
  4. Step 4: Simplify right side
    6,769x = 52,113,961
  5. Step 5: Solve for x
    x = 52,113,961/6,769
  6. Step 6: Final answer
    x = 7,698.92

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.