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Finding the Third Proportional to 17,824.50 and 24,921.13

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Solution

The third proportional to 17,824.50 and 24,921.13 is: 34,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.50 : 24,921.13 = 24,921.13 : x
  2. Step 2: Convert to fraction form
    17,824.50/24,921.13 = 24,921.13/x
  3. Step 3: Cross multiply
    17,824.50x = 24,921.13 × 24,921.13
  4. Step 4: Simplify right side
    17,824.50x = 621,062,471.27
  5. Step 5: Solve for x
    x = 621,062,471.27/17,824.50
  6. Step 6: Final answer
    x = 34,843.19

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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.