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Finding the Third Proportional to 5,191.75 and 7,794.25

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Solution

The third proportional to 5,191.75 and 7,794.25 is: 11,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.75 : 7,794.25 = 7,794.25 : x
  2. Step 2: Convert to fraction form
    5,191.75/7,794.25 = 7,794.25/x
  3. Step 3: Cross multiply
    5,191.75x = 7,794.25 × 7,794.25
  4. Step 4: Simplify right side
    5,191.75x = 60,750,333.06
  5. Step 5: Solve for x
    x = 60,750,333.06/5,191.75
  6. Step 6: Final answer
    x = 11,701.32

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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.