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Finding the Third Proportional to 4,185.75 and 5,739.75

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Solution

The third proportional to 4,185.75 and 5,739.75 is: 7,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.75 : 5,739.75 = 5,739.75 : x
  2. Step 2: Convert to fraction form
    4,185.75/5,739.75 = 5,739.75/x
  3. Step 3: Cross multiply
    4,185.75x = 5,739.75 × 5,739.75
  4. Step 4: Simplify right side
    4,185.75x = 32,944,730.06
  5. Step 5: Solve for x
    x = 32,944,730.06/4,185.75
  6. Step 6: Final answer
    x = 7,870.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.