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Finding the Third Proportional to 825.19 and 1,968.05

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Solution

The third proportional to 825.19 and 1,968.05 is: 4,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,968.05 = 1,968.05 : x
  2. Step 2: Convert to fraction form
    825.19/1,968.05 = 1,968.05/x
  3. Step 3: Cross multiply
    825.19x = 1,968.05 × 1,968.05
  4. Step 4: Simplify right side
    825.19x = 3,873,208.50
  5. Step 5: Solve for x
    x = 3,873,208.50/825.19
  6. Step 6: Final answer
    x = 4,693.73

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.