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Finding the Third Proportional to 2,713.75 and 3,664.75

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Solution

The third proportional to 2,713.75 and 3,664.75 is: 4,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.75 : 3,664.75 = 3,664.75 : x
  2. Step 2: Convert to fraction form
    2,713.75/3,664.75 = 3,664.75/x
  3. Step 3: Cross multiply
    2,713.75x = 3,664.75 × 3,664.75
  4. Step 4: Simplify right side
    2,713.75x = 13,430,392.56
  5. Step 5: Solve for x
    x = 13,430,392.56/2,713.75
  6. Step 6: Final answer
    x = 4,949.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.