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Finding the Third Proportional to 21,981.75 and 34,059

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Solution

The third proportional to 21,981.75 and 34,059 is: 52,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.75 : 34,059 = 34,059 : x
  2. Step 2: Convert to fraction form
    21,981.75/34,059 = 34,059/x
  3. Step 3: Cross multiply
    21,981.75x = 34,059 × 34,059
  4. Step 4: Simplify right side
    21,981.75x = 1,160,015,481
  5. Step 5: Solve for x
    x = 1,160,015,481/21,981.75
  6. Step 6: Final answer
    x = 52,771.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.