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Finding the Third Proportional to 1,883.25 and 4,443.75

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Solution

The third proportional to 1,883.25 and 4,443.75 is: 10,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.25 : 4,443.75 = 4,443.75 : x
  2. Step 2: Convert to fraction form
    1,883.25/4,443.75 = 4,443.75/x
  3. Step 3: Cross multiply
    1,883.25x = 4,443.75 × 4,443.75
  4. Step 4: Simplify right side
    1,883.25x = 19,746,914.06
  5. Step 5: Solve for x
    x = 19,746,914.06/1,883.25
  6. Step 6: Final answer
    x = 10,485.55

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