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Finding the Third Proportional to 2,388.94 and 5,104.83

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Solution

The third proportional to 2,388.94 and 5,104.83 is: 10,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.94 : 5,104.83 = 5,104.83 : x
  2. Step 2: Convert to fraction form
    2,388.94/5,104.83 = 5,104.83/x
  3. Step 3: Cross multiply
    2,388.94x = 5,104.83 × 5,104.83
  4. Step 4: Simplify right side
    2,388.94x = 26,059,270.19
  5. Step 5: Solve for x
    x = 26,059,270.19/2,388.94
  6. Step 6: Final answer
    x = 10,908.31

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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.