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Finding the Third Proportional to 2,334.45 and 4,896.07

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Solution

The third proportional to 2,334.45 and 4,896.07 is: 10,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.45 : 4,896.07 = 4,896.07 : x
  2. Step 2: Convert to fraction form
    2,334.45/4,896.07 = 4,896.07/x
  3. Step 3: Cross multiply
    2,334.45x = 4,896.07 × 4,896.07
  4. Step 4: Simplify right side
    2,334.45x = 23,971,504.50
  5. Step 5: Solve for x
    x = 23,971,504.50/2,334.45
  6. Step 6: Final answer
    x = 10,268.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.