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Finding the Third Proportional to 17,864.25 and 27,689.25

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Solution

The third proportional to 17,864.25 and 27,689.25 is: 42,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.25 : 27,689.25 = 27,689.25 : x
  2. Step 2: Convert to fraction form
    17,864.25/27,689.25 = 27,689.25/x
  3. Step 3: Cross multiply
    17,864.25x = 27,689.25 × 27,689.25
  4. Step 4: Simplify right side
    17,864.25x = 766,694,565.56
  5. Step 5: Solve for x
    x = 766,694,565.56/17,864.25
  6. Step 6: Final answer
    x = 42,917.81

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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.