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Finding the Third Proportional to 1,884.75 and 3,344.25

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Solution

The third proportional to 1,884.75 and 3,344.25 is: 5,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.75 : 3,344.25 = 3,344.25 : x
  2. Step 2: Convert to fraction form
    1,884.75/3,344.25 = 3,344.25/x
  3. Step 3: Cross multiply
    1,884.75x = 3,344.25 × 3,344.25
  4. Step 4: Simplify right side
    1,884.75x = 11,184,008.06
  5. Step 5: Solve for x
    x = 11,184,008.06/1,884.75
  6. Step 6: Final answer
    x = 5,933.95

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.