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Finding the Third Proportional to 21,372.75 and 31,880.25

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Solution

The third proportional to 21,372.75 and 31,880.25 is: 47,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372.75 : 31,880.25 = 31,880.25 : x
  2. Step 2: Convert to fraction form
    21,372.75/31,880.25 = 31,880.25/x
  3. Step 3: Cross multiply
    21,372.75x = 31,880.25 × 31,880.25
  4. Step 4: Simplify right side
    21,372.75x = 1,016,350,340.06
  5. Step 5: Solve for x
    x = 1,016,350,340.06/21,372.75
  6. Step 6: Final answer
    x = 47,553.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.