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Finding the Third Proportional to 12,546.75 and 27,279.75

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Solution

The third proportional to 12,546.75 and 27,279.75 is: 59,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.75 : 27,279.75 = 27,279.75 : x
  2. Step 2: Convert to fraction form
    12,546.75/27,279.75 = 27,279.75/x
  3. Step 3: Cross multiply
    12,546.75x = 27,279.75 × 27,279.75
  4. Step 4: Simplify right side
    12,546.75x = 744,184,760.06
  5. Step 5: Solve for x
    x = 744,184,760.06/12,546.75
  6. Step 6: Final answer
    x = 59,312.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.