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Finding the Third Proportional to 6,171 and 8,793.75

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Solution

The third proportional to 6,171 and 8,793.75 is: 12,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 8,793.75 = 8,793.75 : x
  2. Step 2: Convert to fraction form
    6,171/8,793.75 = 8,793.75/x
  3. Step 3: Cross multiply
    6,171x = 8,793.75 × 8,793.75
  4. Step 4: Simplify right side
    6,171x = 77,330,039.06
  5. Step 5: Solve for x
    x = 77,330,039.06/6,171
  6. Step 6: Final answer
    x = 12,531.20

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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.