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Finding the Third Proportional to 2,131.31 and 3,485.53

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Solution

The third proportional to 2,131.31 and 3,485.53 is: 5,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.31 : 3,485.53 = 3,485.53 : x
  2. Step 2: Convert to fraction form
    2,131.31/3,485.53 = 3,485.53/x
  3. Step 3: Cross multiply
    2,131.31x = 3,485.53 × 3,485.53
  4. Step 4: Simplify right side
    2,131.31x = 12,148,928.09
  5. Step 5: Solve for x
    x = 12,148,928.09/2,131.31
  6. Step 6: Final answer
    x = 5,700.21

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.