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Finding the Third Proportional to 1,733.87 and 2,453.39

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Solution

The third proportional to 1,733.87 and 2,453.39 is: 3,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.87 : 2,453.39 = 2,453.39 : x
  2. Step 2: Convert to fraction form
    1,733.87/2,453.39 = 2,453.39/x
  3. Step 3: Cross multiply
    1,733.87x = 2,453.39 × 2,453.39
  4. Step 4: Simplify right side
    1,733.87x = 6,019,125.56
  5. Step 5: Solve for x
    x = 6,019,125.56/1,733.87
  6. Step 6: Final answer
    x = 3,471.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.