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Finding the Third Proportional to 2,332.41 and 5,040.84

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Solution

The third proportional to 2,332.41 and 5,040.84 is: 10,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.41 : 5,040.84 = 5,040.84 : x
  2. Step 2: Convert to fraction form
    2,332.41/5,040.84 = 5,040.84/x
  3. Step 3: Cross multiply
    2,332.41x = 5,040.84 × 5,040.84
  4. Step 4: Simplify right side
    2,332.41x = 25,410,105.71
  5. Step 5: Solve for x
    x = 25,410,105.71/2,332.41
  6. Step 6: Final answer
    x = 10,894.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.