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Finding the Third Proportional to 923.91 and 2,193.96

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Solution

The third proportional to 923.91 and 2,193.96 is: 5,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 2,193.96 = 2,193.96 : x
  2. Step 2: Convert to fraction form
    923.91/2,193.96 = 2,193.96/x
  3. Step 3: Cross multiply
    923.91x = 2,193.96 × 2,193.96
  4. Step 4: Simplify right side
    923.91x = 4,813,464.60
  5. Step 5: Solve for x
    x = 4,813,464.60/923.91
  6. Step 6: Final answer
    x = 5,209.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.