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Finding the Third Proportional to 6,170.75 and 8,794.25

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Solution

The third proportional to 6,170.75 and 8,794.25 is: 12,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.75 : 8,794.25 = 8,794.25 : x
  2. Step 2: Convert to fraction form
    6,170.75/8,794.25 = 8,794.25/x
  3. Step 3: Cross multiply
    6,170.75x = 8,794.25 × 8,794.25
  4. Step 4: Simplify right side
    6,170.75x = 77,338,833.06
  5. Step 5: Solve for x
    x = 77,338,833.06/6,170.75
  6. Step 6: Final answer
    x = 12,533.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.