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Finding the Third Proportional to 7,282.13 and 11,058.75

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Solution

The third proportional to 7,282.13 and 11,058.75 is: 16,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.13 : 11,058.75 = 11,058.75 : x
  2. Step 2: Convert to fraction form
    7,282.13/11,058.75 = 11,058.75/x
  3. Step 3: Cross multiply
    7,282.13x = 11,058.75 × 11,058.75
  4. Step 4: Simplify right side
    7,282.13x = 122,295,951.56
  5. Step 5: Solve for x
    x = 122,295,951.56/7,282.13
  6. Step 6: Final answer
    x = 16,793.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.