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Finding the Third Proportional to 6,043.36 and 12,546.14

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Solution

The third proportional to 6,043.36 and 12,546.14 is: 26,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.36 : 12,546.14 = 12,546.14 : x
  2. Step 2: Convert to fraction form
    6,043.36/12,546.14 = 12,546.14/x
  3. Step 3: Cross multiply
    6,043.36x = 12,546.14 × 12,546.14
  4. Step 4: Simplify right side
    6,043.36x = 157,405,644.58
  5. Step 5: Solve for x
    x = 157,405,644.58/6,043.36
  6. Step 6: Final answer
    x = 26,046.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.