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Finding the Third Proportional to 8,050.50 and 10,185.75

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Solution

The third proportional to 8,050.50 and 10,185.75 is: 12,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.50 : 10,185.75 = 10,185.75 : x
  2. Step 2: Convert to fraction form
    8,050.50/10,185.75 = 10,185.75/x
  3. Step 3: Cross multiply
    8,050.50x = 10,185.75 × 10,185.75
  4. Step 4: Simplify right side
    8,050.50x = 103,749,503.06
  5. Step 5: Solve for x
    x = 103,749,503.06/8,050.50
  6. Step 6: Final answer
    x = 12,887.34

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.