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Finding the Third Proportional to 7,107.75 and 8,364.52

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Solution

The third proportional to 7,107.75 and 8,364.52 is: 9,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.75 : 8,364.52 = 8,364.52 : x
  2. Step 2: Convert to fraction form
    7,107.75/8,364.52 = 8,364.52/x
  3. Step 3: Cross multiply
    7,107.75x = 8,364.52 × 8,364.52
  4. Step 4: Simplify right side
    7,107.75x = 69,965,121.64
  5. Step 5: Solve for x
    x = 69,965,121.64/7,107.75
  6. Step 6: Final answer
    x = 9,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.