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Finding the Third Proportional to 842.63 and 1,958.63

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Solution

The third proportional to 842.63 and 1,958.63 is: 4,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.63 : 1,958.63 = 1,958.63 : x
  2. Step 2: Convert to fraction form
    842.63/1,958.63 = 1,958.63/x
  3. Step 3: Cross multiply
    842.63x = 1,958.63 × 1,958.63
  4. Step 4: Simplify right side
    842.63x = 3,836,211.89
  5. Step 5: Solve for x
    x = 3,836,211.89/842.63
  6. Step 6: Final answer
    x = 4,552.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.