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Finding the Third Proportional to 11,274.75 and 12,550.50

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Solution

The third proportional to 11,274.75 and 12,550.50 is: 13,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.75 : 12,550.50 = 12,550.50 : x
  2. Step 2: Convert to fraction form
    11,274.75/12,550.50 = 12,550.50/x
  3. Step 3: Cross multiply
    11,274.75x = 12,550.50 × 12,550.50
  4. Step 4: Simplify right side
    11,274.75x = 157,515,050.25
  5. Step 5: Solve for x
    x = 157,515,050.25/11,274.75
  6. Step 6: Final answer
    x = 13,970.60

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.