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Finding the Third Proportional to 21,194.25 and 32,766

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Solution

The third proportional to 21,194.25 and 32,766 is: 50,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.25 : 32,766 = 32,766 : x
  2. Step 2: Convert to fraction form
    21,194.25/32,766 = 32,766/x
  3. Step 3: Cross multiply
    21,194.25x = 32,766 × 32,766
  4. Step 4: Simplify right side
    21,194.25x = 1,073,610,756
  5. Step 5: Solve for x
    x = 1,073,610,756/21,194.25
  6. Step 6: Final answer
    x = 50,655.76

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Why These Related Problems?

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