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Finding the Third Proportional to 15,504.75 and 21,826.13

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Solution

The third proportional to 15,504.75 and 21,826.13 is: 30,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,504.75 : 21,826.13 = 21,826.13 : x
  2. Step 2: Convert to fraction form
    15,504.75/21,826.13 = 21,826.13/x
  3. Step 3: Cross multiply
    15,504.75x = 21,826.13 × 21,826.13
  4. Step 4: Simplify right side
    15,504.75x = 476,379,732.52
  5. Step 5: Solve for x
    x = 476,379,732.52/15,504.75
  6. Step 6: Final answer
    x = 30,724.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.