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Finding the Third Proportional to 1,928.75 and 4,117.25

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Solution

The third proportional to 1,928.75 and 4,117.25 is: 8,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.75 : 4,117.25 = 4,117.25 : x
  2. Step 2: Convert to fraction form
    1,928.75/4,117.25 = 4,117.25/x
  3. Step 3: Cross multiply
    1,928.75x = 4,117.25 × 4,117.25
  4. Step 4: Simplify right side
    1,928.75x = 16,951,747.56
  5. Step 5: Solve for x
    x = 16,951,747.56/1,928.75
  6. Step 6: Final answer
    x = 8,788.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.