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Finding the Third Proportional to 6,789 and 7,275

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Solution

The third proportional to 6,789 and 7,275 is: 7,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789 : 7,275 = 7,275 : x
  2. Step 2: Convert to fraction form
    6,789/7,275 = 7,275/x
  3. Step 3: Cross multiply
    6,789x = 7,275 × 7,275
  4. Step 4: Simplify right side
    6,789x = 52,925,625
  5. Step 5: Solve for x
    x = 52,925,625/6,789
  6. Step 6: Final answer
    x = 7,795.79

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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.