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Finding the Third Proportional to 17,823.94 and 24,920.44

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Solution

The third proportional to 17,823.94 and 24,920.44 is: 34,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.94 : 24,920.44 = 24,920.44 : x
  2. Step 2: Convert to fraction form
    17,823.94/24,920.44 = 24,920.44/x
  3. Step 3: Cross multiply
    17,823.94x = 24,920.44 × 24,920.44
  4. Step 4: Simplify right side
    17,823.94x = 621,028,205.19
  5. Step 5: Solve for x
    x = 621,028,205.19/17,823.94
  6. Step 6: Final answer
    x = 34,842.37

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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.