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Finding the Third Proportional to 21,797 and 30,694.50

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Solution

The third proportional to 21,797 and 30,694.50 is: 43,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797 : 30,694.50 = 30,694.50 : x
  2. Step 2: Convert to fraction form
    21,797/30,694.50 = 30,694.50/x
  3. Step 3: Cross multiply
    21,797x = 30,694.50 × 30,694.50
  4. Step 4: Simplify right side
    21,797x = 942,152,330.25
  5. Step 5: Solve for x
    x = 942,152,330.25/21,797
  6. Step 6: Final answer
    x = 43,223.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.