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Finding the Third Proportional to 1,794 and 4,363.50

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Solution

The third proportional to 1,794 and 4,363.50 is: 10,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794 : 4,363.50 = 4,363.50 : x
  2. Step 2: Convert to fraction form
    1,794/4,363.50 = 4,363.50/x
  3. Step 3: Cross multiply
    1,794x = 4,363.50 × 4,363.50
  4. Step 4: Simplify right side
    1,794x = 19,040,132.25
  5. Step 5: Solve for x
    x = 19,040,132.25/1,794
  6. Step 6: Final answer
    x = 10,613.23

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.