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Finding the Third Proportional to 19,826.25 and 30,828

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Solution

The third proportional to 19,826.25 and 30,828 is: 47,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.25 : 30,828 = 30,828 : x
  2. Step 2: Convert to fraction form
    19,826.25/30,828 = 30,828/x
  3. Step 3: Cross multiply
    19,826.25x = 30,828 × 30,828
  4. Step 4: Simplify right side
    19,826.25x = 950,365,584
  5. Step 5: Solve for x
    x = 950,365,584/19,826.25
  6. Step 6: Final answer
    x = 47,934.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.