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Finding the Third Proportional to 923.97 and 2,019.22

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Solution

The third proportional to 923.97 and 2,019.22 is: 4,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.97 : 2,019.22 = 2,019.22 : x
  2. Step 2: Convert to fraction form
    923.97/2,019.22 = 2,019.22/x
  3. Step 3: Cross multiply
    923.97x = 2,019.22 × 2,019.22
  4. Step 4: Simplify right side
    923.97x = 4,077,244.36
  5. Step 5: Solve for x
    x = 4,077,244.36/923.97
  6. Step 6: Final answer
    x = 4,412.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.