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Finding the Third Proportional to 2,321.75 and 3,740.75

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Solution

The third proportional to 2,321.75 and 3,740.75 is: 6,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.75 : 3,740.75 = 3,740.75 : x
  2. Step 2: Convert to fraction form
    2,321.75/3,740.75 = 3,740.75/x
  3. Step 3: Cross multiply
    2,321.75x = 3,740.75 × 3,740.75
  4. Step 4: Simplify right side
    2,321.75x = 13,993,210.56
  5. Step 5: Solve for x
    x = 13,993,210.56/2,321.75
  6. Step 6: Final answer
    x = 6,027.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.