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Finding the Third Proportional to 21,578.25 and 32,817.75

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Solution

The third proportional to 21,578.25 and 32,817.75 is: 49,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.25 : 32,817.75 = 32,817.75 : x
  2. Step 2: Convert to fraction form
    21,578.25/32,817.75 = 32,817.75/x
  3. Step 3: Cross multiply
    21,578.25x = 32,817.75 × 32,817.75
  4. Step 4: Simplify right side
    21,578.25x = 1,077,004,715.06
  5. Step 5: Solve for x
    x = 1,077,004,715.06/21,578.25
  6. Step 6: Final answer
    x = 49,911.59

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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.