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Finding the Third Proportional to 2,512.75 and 3,619.88

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Solution

The third proportional to 2,512.75 and 3,619.88 is: 5,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.75 : 3,619.88 = 3,619.88 : x
  2. Step 2: Convert to fraction form
    2,512.75/3,619.88 = 3,619.88/x
  3. Step 3: Cross multiply
    2,512.75x = 3,619.88 × 3,619.88
  4. Step 4: Simplify right side
    2,512.75x = 13,103,495.02
  5. Step 5: Solve for x
    x = 13,103,495.02/2,512.75
  6. Step 6: Final answer
    x = 5,214.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.