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Finding the Third Proportional to 6,115.88 and 12,888.56

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Solution

The third proportional to 6,115.88 and 12,888.56 is: 27,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.88 : 12,888.56 = 12,888.56 : x
  2. Step 2: Convert to fraction form
    6,115.88/12,888.56 = 12,888.56/x
  3. Step 3: Cross multiply
    6,115.88x = 12,888.56 × 12,888.56
  4. Step 4: Simplify right side
    6,115.88x = 166,115,043.32
  5. Step 5: Solve for x
    x = 166,115,043.32/6,115.88
  6. Step 6: Final answer
    x = 27,161.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.