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Finding the Third Proportional to 923.63 and 2,203.31

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Solution

The third proportional to 923.63 and 2,203.31 is: 5,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 2,203.31 = 2,203.31 : x
  2. Step 2: Convert to fraction form
    923.63/2,203.31 = 2,203.31/x
  3. Step 3: Cross multiply
    923.63x = 2,203.31 × 2,203.31
  4. Step 4: Simplify right side
    923.63x = 4,854,585.97
  5. Step 5: Solve for x
    x = 4,854,585.97/923.63
  6. Step 6: Final answer
    x = 5,256.01

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.