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Finding the Third Proportional to 21,266.44 and 49,672.69

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Solution

The third proportional to 21,266.44 and 49,672.69 is: 116,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.44 : 49,672.69 = 49,672.69 : x
  2. Step 2: Convert to fraction form
    21,266.44/49,672.69 = 49,672.69/x
  3. Step 3: Cross multiply
    21,266.44x = 49,672.69 × 49,672.69
  4. Step 4: Simplify right side
    21,266.44x = 2,467,375,883.47
  5. Step 5: Solve for x
    x = 2,467,375,883.47/21,266.44
  6. Step 6: Final answer
    x = 116,022.06

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.