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Finding the Third Proportional to 2,157.63 and 3,238.59

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Solution

The third proportional to 2,157.63 and 3,238.59 is: 4,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.63 : 3,238.59 = 3,238.59 : x
  2. Step 2: Convert to fraction form
    2,157.63/3,238.59 = 3,238.59/x
  3. Step 3: Cross multiply
    2,157.63x = 3,238.59 × 3,238.59
  4. Step 4: Simplify right side
    2,157.63x = 10,488,439.67
  5. Step 5: Solve for x
    x = 10,488,439.67/2,157.63
  6. Step 6: Final answer
    x = 4,861.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.