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Finding the Third Proportional to 6,837.75 and 7,286.63

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Solution

The third proportional to 6,837.75 and 7,286.63 is: 7,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.75 : 7,286.63 = 7,286.63 : x
  2. Step 2: Convert to fraction form
    6,837.75/7,286.63 = 7,286.63/x
  3. Step 3: Cross multiply
    6,837.75x = 7,286.63 × 7,286.63
  4. Step 4: Simplify right side
    6,837.75x = 53,094,903.89
  5. Step 5: Solve for x
    x = 53,094,903.89/6,837.75
  6. Step 6: Final answer
    x = 7,764.97

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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.