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Finding the Third Proportional to 21,845 and 32,948

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Solution

The third proportional to 21,845 and 32,948 is: 49,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845 : 32,948 = 32,948 : x
  2. Step 2: Convert to fraction form
    21,845/32,948 = 32,948/x
  3. Step 3: Cross multiply
    21,845x = 32,948 × 32,948
  4. Step 4: Simplify right side
    21,845x = 1,085,570,704
  5. Step 5: Solve for x
    x = 1,085,570,704/21,845
  6. Step 6: Final answer
    x = 49,694.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.