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Finding the Third Proportional to 21,983.63 and 51,843.38

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Solution

The third proportional to 21,983.63 and 51,843.38 is: 122,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.63 : 51,843.38 = 51,843.38 : x
  2. Step 2: Convert to fraction form
    21,983.63/51,843.38 = 51,843.38/x
  3. Step 3: Cross multiply
    21,983.63x = 51,843.38 × 51,843.38
  4. Step 4: Simplify right side
    21,983.63x = 2,687,735,531.39
  5. Step 5: Solve for x
    x = 2,687,735,531.39/21,983.63
  6. Step 6: Final answer
    x = 122,260.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.