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Finding the Third Proportional to 825.38 and 1,947.75

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Solution

The third proportional to 825.38 and 1,947.75 is: 4,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.38 : 1,947.75 = 1,947.75 : x
  2. Step 2: Convert to fraction form
    825.38/1,947.75 = 1,947.75/x
  3. Step 3: Cross multiply
    825.38x = 1,947.75 × 1,947.75
  4. Step 4: Simplify right side
    825.38x = 3,793,730.06
  5. Step 5: Solve for x
    x = 3,793,730.06/825.38
  6. Step 6: Final answer
    x = 4,596.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.