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Finding the Third Proportional to 8,517.75 and 18,050.25

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Solution

The third proportional to 8,517.75 and 18,050.25 is: 38,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.75 : 18,050.25 = 18,050.25 : x
  2. Step 2: Convert to fraction form
    8,517.75/18,050.25 = 18,050.25/x
  3. Step 3: Cross multiply
    8,517.75x = 18,050.25 × 18,050.25
  4. Step 4: Simplify right side
    8,517.75x = 325,811,525.06
  5. Step 5: Solve for x
    x = 325,811,525.06/8,517.75
  6. Step 6: Final answer
    x = 38,250.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.