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Finding the Third Proportional to 7,894.75 and 17,054.75

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Solution

The third proportional to 7,894.75 and 17,054.75 is: 36,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.75 : 17,054.75 = 17,054.75 : x
  2. Step 2: Convert to fraction form
    7,894.75/17,054.75 = 17,054.75/x
  3. Step 3: Cross multiply
    7,894.75x = 17,054.75 × 17,054.75
  4. Step 4: Simplify right side
    7,894.75x = 290,864,497.56
  5. Step 5: Solve for x
    x = 290,864,497.56/7,894.75
  6. Step 6: Final answer
    x = 36,842.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.