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Finding the Third Proportional to 6,286.78 and 13,655.25

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Solution

The third proportional to 6,286.78 and 13,655.25 is: 29,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.78 : 13,655.25 = 13,655.25 : x
  2. Step 2: Convert to fraction form
    6,286.78/13,655.25 = 13,655.25/x
  3. Step 3: Cross multiply
    6,286.78x = 13,655.25 × 13,655.25
  4. Step 4: Simplify right side
    6,286.78x = 186,465,852.56
  5. Step 5: Solve for x
    x = 186,465,852.56/6,286.78
  6. Step 6: Final answer
    x = 29,659.99

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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.