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Finding the Third Proportional to 2,635.03 and 4,286.67

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Solution

The third proportional to 2,635.03 and 4,286.67 is: 6,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.03 : 4,286.67 = 4,286.67 : x
  2. Step 2: Convert to fraction form
    2,635.03/4,286.67 = 4,286.67/x
  3. Step 3: Cross multiply
    2,635.03x = 4,286.67 × 4,286.67
  4. Step 4: Simplify right side
    2,635.03x = 18,375,555.76
  5. Step 5: Solve for x
    x = 18,375,555.76/2,635.03
  6. Step 6: Final answer
    x = 6,973.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.