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Finding the Third Proportional to 21,138.75 and 29,553.75

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Solution

The third proportional to 21,138.75 and 29,553.75 is: 41,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.75 : 29,553.75 = 29,553.75 : x
  2. Step 2: Convert to fraction form
    21,138.75/29,553.75 = 29,553.75/x
  3. Step 3: Cross multiply
    21,138.75x = 29,553.75 × 29,553.75
  4. Step 4: Simplify right side
    21,138.75x = 873,424,139.06
  5. Step 5: Solve for x
    x = 873,424,139.06/21,138.75
  6. Step 6: Final answer
    x = 41,318.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.