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Finding the Third Proportional to 2,664.77 and 3,722.84

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Solution

The third proportional to 2,664.77 and 3,722.84 is: 5,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.77 : 3,722.84 = 3,722.84 : x
  2. Step 2: Convert to fraction form
    2,664.77/3,722.84 = 3,722.84/x
  3. Step 3: Cross multiply
    2,664.77x = 3,722.84 × 3,722.84
  4. Step 4: Simplify right side
    2,664.77x = 13,859,507.42
  5. Step 5: Solve for x
    x = 13,859,507.42/2,664.77
  6. Step 6: Final answer
    x = 5,201.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.