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Finding the Third Proportional to 21,507.25 and 50,601.50

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Solution

The third proportional to 21,507.25 and 50,601.50 is: 119,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.25 : 50,601.50 = 50,601.50 : x
  2. Step 2: Convert to fraction form
    21,507.25/50,601.50 = 50,601.50/x
  3. Step 3: Cross multiply
    21,507.25x = 50,601.50 × 50,601.50
  4. Step 4: Simplify right side
    21,507.25x = 2,560,511,802.25
  5. Step 5: Solve for x
    x = 2,560,511,802.25/21,507.25
  6. Step 6: Final answer
    x = 119,053.43

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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.