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Finding the Third Proportional to 923.41 and 1,976.55

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Solution

The third proportional to 923.41 and 1,976.55 is: 4,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.41 : 1,976.55 = 1,976.55 : x
  2. Step 2: Convert to fraction form
    923.41/1,976.55 = 1,976.55/x
  3. Step 3: Cross multiply
    923.41x = 1,976.55 × 1,976.55
  4. Step 4: Simplify right side
    923.41x = 3,906,768.43
  5. Step 5: Solve for x
    x = 3,906,768.43/923.41
  6. Step 6: Final answer
    x = 4,230.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.