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Finding the Third Proportional to 7,917.75 and 17,058.09

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Solution

The third proportional to 7,917.75 and 17,058.09 is: 36,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.75 : 17,058.09 = 17,058.09 : x
  2. Step 2: Convert to fraction form
    7,917.75/17,058.09 = 17,058.09/x
  3. Step 3: Cross multiply
    7,917.75x = 17,058.09 × 17,058.09
  4. Step 4: Simplify right side
    7,917.75x = 290,978,562.38
  5. Step 5: Solve for x
    x = 290,978,562.38/7,917.75
  6. Step 6: Final answer
    x = 36,750.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.