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Finding the Third Proportional to 3,805.75 and 5,971.75

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Solution

The third proportional to 3,805.75 and 5,971.75 is: 9,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.75 : 5,971.75 = 5,971.75 : x
  2. Step 2: Convert to fraction form
    3,805.75/5,971.75 = 5,971.75/x
  3. Step 3: Cross multiply
    3,805.75x = 5,971.75 × 5,971.75
  4. Step 4: Simplify right side
    3,805.75x = 35,661,798.06
  5. Step 5: Solve for x
    x = 35,661,798.06/3,805.75
  6. Step 6: Final answer
    x = 9,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.