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Finding the Third Proportional to 2,157.38 and 3,281.63

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Solution

The third proportional to 2,157.38 and 3,281.63 is: 4,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.38 : 3,281.63 = 3,281.63 : x
  2. Step 2: Convert to fraction form
    2,157.38/3,281.63 = 3,281.63/x
  3. Step 3: Cross multiply
    2,157.38x = 3,281.63 × 3,281.63
  4. Step 4: Simplify right side
    2,157.38x = 10,769,062.64
  5. Step 5: Solve for x
    x = 10,769,062.64/2,157.38
  6. Step 6: Final answer
    x = 4,991.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.