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Finding the Third Proportional to 6,364.50 and 9,616.75

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Solution

The third proportional to 6,364.50 and 9,616.75 is: 14,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.50 : 9,616.75 = 9,616.75 : x
  2. Step 2: Convert to fraction form
    6,364.50/9,616.75 = 9,616.75/x
  3. Step 3: Cross multiply
    6,364.50x = 9,616.75 × 9,616.75
  4. Step 4: Simplify right side
    6,364.50x = 92,481,880.56
  5. Step 5: Solve for x
    x = 92,481,880.56/6,364.50
  6. Step 6: Final answer
    x = 14,530.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.