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Finding the Third Proportional to 17,625.75 and 27,305.25

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Solution

The third proportional to 17,625.75 and 27,305.25 is: 42,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.75 : 27,305.25 = 27,305.25 : x
  2. Step 2: Convert to fraction form
    17,625.75/27,305.25 = 27,305.25/x
  3. Step 3: Cross multiply
    17,625.75x = 27,305.25 × 27,305.25
  4. Step 4: Simplify right side
    17,625.75x = 745,576,677.56
  5. Step 5: Solve for x
    x = 745,576,677.56/17,625.75
  6. Step 6: Final answer
    x = 42,300.42

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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.