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Finding the Third Proportional to 6,828 and 7,364

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Solution

The third proportional to 6,828 and 7,364 is: 7,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 7,364 = 7,364 : x
  2. Step 2: Convert to fraction form
    6,828/7,364 = 7,364/x
  3. Step 3: Cross multiply
    6,828x = 7,364 × 7,364
  4. Step 4: Simplify right side
    6,828x = 54,228,496
  5. Step 5: Solve for x
    x = 54,228,496/6,828
  6. Step 6: Final answer
    x = 7,942.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.