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Finding the Third Proportional to 6,009.75 and 8,727.75

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Solution

The third proportional to 6,009.75 and 8,727.75 is: 12,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.75 : 8,727.75 = 8,727.75 : x
  2. Step 2: Convert to fraction form
    6,009.75/8,727.75 = 8,727.75/x
  3. Step 3: Cross multiply
    6,009.75x = 8,727.75 × 8,727.75
  4. Step 4: Simplify right side
    6,009.75x = 76,173,620.06
  5. Step 5: Solve for x
    x = 76,173,620.06/6,009.75
  6. Step 6: Final answer
    x = 12,675.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.