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Finding the Third Proportional to 21,591 and 32,802

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Solution

The third proportional to 21,591 and 32,802 is: 49,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591 : 32,802 = 32,802 : x
  2. Step 2: Convert to fraction form
    21,591/32,802 = 32,802/x
  3. Step 3: Cross multiply
    21,591x = 32,802 × 32,802
  4. Step 4: Simplify right side
    21,591x = 1,075,971,204
  5. Step 5: Solve for x
    x = 1,075,971,204/21,591
  6. Step 6: Final answer
    x = 49,834.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.