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Finding the Third Proportional to 21,456.25 and 32,062.75

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Solution

The third proportional to 21,456.25 and 32,062.75 is: 47,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.25 : 32,062.75 = 32,062.75 : x
  2. Step 2: Convert to fraction form
    21,456.25/32,062.75 = 32,062.75/x
  3. Step 3: Cross multiply
    21,456.25x = 32,062.75 × 32,062.75
  4. Step 4: Simplify right side
    21,456.25x = 1,028,019,937.56
  5. Step 5: Solve for x
    x = 1,028,019,937.56/21,456.25
  6. Step 6: Final answer
    x = 47,912.38

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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.