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Finding the Third Proportional to 9,921.23 and 21,839.63

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Solution

The third proportional to 9,921.23 and 21,839.63 is: 48,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.23 : 21,839.63 = 21,839.63 : x
  2. Step 2: Convert to fraction form
    9,921.23/21,839.63 = 21,839.63/x
  3. Step 3: Cross multiply
    9,921.23x = 21,839.63 × 21,839.63
  4. Step 4: Simplify right side
    9,921.23x = 476,969,220.14
  5. Step 5: Solve for x
    x = 476,969,220.14/9,921.23
  6. Step 6: Final answer
    x = 48,075.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.