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Finding the Third Proportional to 9,616.50 and 14,928.75

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Solution

The third proportional to 9,616.50 and 14,928.75 is: 23,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.50 : 14,928.75 = 14,928.75 : x
  2. Step 2: Convert to fraction form
    9,616.50/14,928.75 = 14,928.75/x
  3. Step 3: Cross multiply
    9,616.50x = 14,928.75 × 14,928.75
  4. Step 4: Simplify right side
    9,616.50x = 222,867,576.56
  5. Step 5: Solve for x
    x = 222,867,576.56/9,616.50
  6. Step 6: Final answer
    x = 23,175.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.