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Finding the Third Proportional to 1,917.75 and 4,027.50

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Solution

The third proportional to 1,917.75 and 4,027.50 is: 8,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.75 : 4,027.50 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    1,917.75/4,027.50 = 4,027.50/x
  3. Step 3: Cross multiply
    1,917.75x = 4,027.50 × 4,027.50
  4. Step 4: Simplify right side
    1,917.75x = 16,220,756.25
  5. Step 5: Solve for x
    x = 16,220,756.25/1,917.75
  6. Step 6: Final answer
    x = 8,458.22

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