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Finding the Third Proportional to 6,768 and 10,170

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Solution

The third proportional to 6,768 and 10,170 is: 15,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 10,170 = 10,170 : x
  2. Step 2: Convert to fraction form
    6,768/10,170 = 10,170/x
  3. Step 3: Cross multiply
    6,768x = 10,170 × 10,170
  4. Step 4: Simplify right side
    6,768x = 103,428,900
  5. Step 5: Solve for x
    x = 103,428,900/6,768
  6. Step 6: Final answer
    x = 15,282.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.