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Finding the Third Proportional to 2,111.54 and 4,894.41

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Solution

The third proportional to 2,111.54 and 4,894.41 is: 11,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.54 : 4,894.41 = 4,894.41 : x
  2. Step 2: Convert to fraction form
    2,111.54/4,894.41 = 4,894.41/x
  3. Step 3: Cross multiply
    2,111.54x = 4,894.41 × 4,894.41
  4. Step 4: Simplify right side
    2,111.54x = 23,955,241.22
  5. Step 5: Solve for x
    x = 23,955,241.22/2,111.54
  6. Step 6: Final answer
    x = 11,344.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.