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Finding the Third Proportional to 11,285.50 and 16,928.75

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Solution

The third proportional to 11,285.50 and 16,928.75 is: 25,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.50 : 16,928.75 = 16,928.75 : x
  2. Step 2: Convert to fraction form
    11,285.50/16,928.75 = 16,928.75/x
  3. Step 3: Cross multiply
    11,285.50x = 16,928.75 × 16,928.75
  4. Step 4: Simplify right side
    11,285.50x = 286,582,576.56
  5. Step 5: Solve for x
    x = 286,582,576.56/11,285.50
  6. Step 6: Final answer
    x = 25,393.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.