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Finding the Third Proportional to 21,840 and 32,958

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Solution

The third proportional to 21,840 and 32,958 is: 49,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840 : 32,958 = 32,958 : x
  2. Step 2: Convert to fraction form
    21,840/32,958 = 32,958/x
  3. Step 3: Cross multiply
    21,840x = 32,958 × 32,958
  4. Step 4: Simplify right side
    21,840x = 1,086,229,764
  5. Step 5: Solve for x
    x = 1,086,229,764/21,840
  6. Step 6: Final answer
    x = 49,735.80

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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.