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Finding the Third Proportional to 2,723.34 and 4,074.19

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Solution

The third proportional to 2,723.34 and 4,074.19 is: 6,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.34 : 4,074.19 = 4,074.19 : x
  2. Step 2: Convert to fraction form
    2,723.34/4,074.19 = 4,074.19/x
  3. Step 3: Cross multiply
    2,723.34x = 4,074.19 × 4,074.19
  4. Step 4: Simplify right side
    2,723.34x = 16,599,003.79
  5. Step 5: Solve for x
    x = 16,599,003.79/2,723.34
  6. Step 6: Final answer
    x = 6,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.