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Finding the Third Proportional to 6,818 and 9,162.75

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Solution

The third proportional to 6,818 and 9,162.75 is: 12,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818 : 9,162.75 = 9,162.75 : x
  2. Step 2: Convert to fraction form
    6,818/9,162.75 = 9,162.75/x
  3. Step 3: Cross multiply
    6,818x = 9,162.75 × 9,162.75
  4. Step 4: Simplify right side
    6,818x = 83,955,987.56
  5. Step 5: Solve for x
    x = 83,955,987.56/6,818
  6. Step 6: Final answer
    x = 12,313.87

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.