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Finding the Third Proportional to 7,843.50 and 10,651.50

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Solution

The third proportional to 7,843.50 and 10,651.50 is: 14,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 10,651.50 = 10,651.50 : x
  2. Step 2: Convert to fraction form
    7,843.50/10,651.50 = 10,651.50/x
  3. Step 3: Cross multiply
    7,843.50x = 10,651.50 × 10,651.50
  4. Step 4: Simplify right side
    7,843.50x = 113,454,452.25
  5. Step 5: Solve for x
    x = 113,454,452.25/7,843.50
  6. Step 6: Final answer
    x = 14,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.