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Finding the Third Proportional to 4,198.50 and 10,928.25

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Solution

The third proportional to 4,198.50 and 10,928.25 is: 28,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 10,928.25 = 10,928.25 : x
  2. Step 2: Convert to fraction form
    4,198.50/10,928.25 = 10,928.25/x
  3. Step 3: Cross multiply
    4,198.50x = 10,928.25 × 10,928.25
  4. Step 4: Simplify right side
    4,198.50x = 119,426,648.06
  5. Step 5: Solve for x
    x = 119,426,648.06/4,198.50
  6. Step 6: Final answer
    x = 28,445.08

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.