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Finding the Third Proportional to 1,250.86 and 2,074.57

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Solution

The third proportional to 1,250.86 and 2,074.57 is: 3,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.86 : 2,074.57 = 2,074.57 : x
  2. Step 2: Convert to fraction form
    1,250.86/2,074.57 = 2,074.57/x
  3. Step 3: Cross multiply
    1,250.86x = 2,074.57 × 2,074.57
  4. Step 4: Simplify right side
    1,250.86x = 4,303,841.98
  5. Step 5: Solve for x
    x = 4,303,841.98/1,250.86
  6. Step 6: Final answer
    x = 3,440.71

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.