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Finding the Third Proportional to 21,841.25 and 51,342.75

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Solution

The third proportional to 21,841.25 and 51,342.75 is: 120,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.25 : 51,342.75 = 51,342.75 : x
  2. Step 2: Convert to fraction form
    21,841.25/51,342.75 = 51,342.75/x
  3. Step 3: Cross multiply
    21,841.25x = 51,342.75 × 51,342.75
  4. Step 4: Simplify right side
    21,841.25x = 2,636,077,977.56
  5. Step 5: Solve for x
    x = 2,636,077,977.56/21,841.25
  6. Step 6: Final answer
    x = 120,692.63

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.