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Finding the Third Proportional to 3,771.75 and 5,873.25

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Solution

The third proportional to 3,771.75 and 5,873.25 is: 9,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.75 : 5,873.25 = 5,873.25 : x
  2. Step 2: Convert to fraction form
    3,771.75/5,873.25 = 5,873.25/x
  3. Step 3: Cross multiply
    3,771.75x = 5,873.25 × 5,873.25
  4. Step 4: Simplify right side
    3,771.75x = 34,495,065.56
  5. Step 5: Solve for x
    x = 34,495,065.56/3,771.75
  6. Step 6: Final answer
    x = 9,145.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.