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Finding the Third Proportional to 858.09 and 1,983.23

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Solution

The third proportional to 858.09 and 1,983.23 is: 4,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,983.23 = 1,983.23 : x
  2. Step 2: Convert to fraction form
    858.09/1,983.23 = 1,983.23/x
  3. Step 3: Cross multiply
    858.09x = 1,983.23 × 1,983.23
  4. Step 4: Simplify right side
    858.09x = 3,933,218.59
  5. Step 5: Solve for x
    x = 3,933,218.59/858.09
  6. Step 6: Final answer
    x = 4,583.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.