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Finding the Third Proportional to 1,923.75 and 4,696.31

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Solution

The third proportional to 1,923.75 and 4,696.31 is: 11,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.75 : 4,696.31 = 4,696.31 : x
  2. Step 2: Convert to fraction form
    1,923.75/4,696.31 = 4,696.31/x
  3. Step 3: Cross multiply
    1,923.75x = 4,696.31 × 4,696.31
  4. Step 4: Simplify right side
    1,923.75x = 22,055,351.10
  5. Step 5: Solve for x
    x = 22,055,351.10/1,923.75
  6. Step 6: Final answer
    x = 11,464.77

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.