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Finding the Third Proportional to 12,546.28 and 27,279.56

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Solution

The third proportional to 12,546.28 and 27,279.56 is: 59,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.28 : 27,279.56 = 27,279.56 : x
  2. Step 2: Convert to fraction form
    12,546.28/27,279.56 = 27,279.56/x
  3. Step 3: Cross multiply
    12,546.28x = 27,279.56 × 27,279.56
  4. Step 4: Simplify right side
    12,546.28x = 744,174,530.19
  5. Step 5: Solve for x
    x = 744,174,530.19/12,546.28
  6. Step 6: Final answer
    x = 59,314.35

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Why These Related Problems?

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