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Finding the Third Proportional to 11,457.75 and 17,163.75

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Solution

The third proportional to 11,457.75 and 17,163.75 is: 25,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.75 : 17,163.75 = 17,163.75 : x
  2. Step 2: Convert to fraction form
    11,457.75/17,163.75 = 17,163.75/x
  3. Step 3: Cross multiply
    11,457.75x = 17,163.75 × 17,163.75
  4. Step 4: Simplify right side
    11,457.75x = 294,594,314.06
  5. Step 5: Solve for x
    x = 294,594,314.06/11,457.75
  6. Step 6: Final answer
    x = 25,711.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.