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Finding the Third Proportional to 2,441.63 and 3,777.75

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Solution

The third proportional to 2,441.63 and 3,777.75 is: 5,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.63 : 3,777.75 = 3,777.75 : x
  2. Step 2: Convert to fraction form
    2,441.63/3,777.75 = 3,777.75/x
  3. Step 3: Cross multiply
    2,441.63x = 3,777.75 × 3,777.75
  4. Step 4: Simplify right side
    2,441.63x = 14,271,395.06
  5. Step 5: Solve for x
    x = 14,271,395.06/2,441.63
  6. Step 6: Final answer
    x = 5,845.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.