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Finding the Third Proportional to 19,854 and 41,789.25

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Solution

The third proportional to 19,854 and 41,789.25 is: 87,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 41,789.25 = 41,789.25 : x
  2. Step 2: Convert to fraction form
    19,854/41,789.25 = 41,789.25/x
  3. Step 3: Cross multiply
    19,854x = 41,789.25 × 41,789.25
  4. Step 4: Simplify right side
    19,854x = 1,746,341,415.56
  5. Step 5: Solve for x
    x = 1,746,341,415.56/19,854
  6. Step 6: Final answer
    x = 87,959.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.