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Finding the Third Proportional to 19,257.75 and 21,809.25

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Solution

The third proportional to 19,257.75 and 21,809.25 is: 24,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.75 : 21,809.25 = 21,809.25 : x
  2. Step 2: Convert to fraction form
    19,257.75/21,809.25 = 21,809.25/x
  3. Step 3: Cross multiply
    19,257.75x = 21,809.25 × 21,809.25
  4. Step 4: Simplify right side
    19,257.75x = 475,643,385.56
  5. Step 5: Solve for x
    x = 475,643,385.56/19,257.75
  6. Step 6: Final answer
    x = 24,698.80

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.