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Finding the Third Proportional to 835.79 and 1,883.72

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Solution

The third proportional to 835.79 and 1,883.72 is: 4,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,883.72 = 1,883.72 : x
  2. Step 2: Convert to fraction form
    835.79/1,883.72 = 1,883.72/x
  3. Step 3: Cross multiply
    835.79x = 1,883.72 × 1,883.72
  4. Step 4: Simplify right side
    835.79x = 3,548,418.40
  5. Step 5: Solve for x
    x = 3,548,418.40/835.79
  6. Step 6: Final answer
    x = 4,245.60

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.