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Finding the Third Proportional to 1,556.92 and 2,313.21

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Solution

The third proportional to 1,556.92 and 2,313.21 is: 3,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.92 : 2,313.21 = 2,313.21 : x
  2. Step 2: Convert to fraction form
    1,556.92/2,313.21 = 2,313.21/x
  3. Step 3: Cross multiply
    1,556.92x = 2,313.21 × 2,313.21
  4. Step 4: Simplify right side
    1,556.92x = 5,350,917.73
  5. Step 5: Solve for x
    x = 5,350,917.73/1,556.92
  6. Step 6: Final answer
    x = 3,436.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.