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Finding the Third Proportional to 5,606 and 13,286

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Solution

The third proportional to 5,606 and 13,286 is: 31,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606 : 13,286 = 13,286 : x
  2. Step 2: Convert to fraction form
    5,606/13,286 = 13,286/x
  3. Step 3: Cross multiply
    5,606x = 13,286 × 13,286
  4. Step 4: Simplify right side
    5,606x = 176,517,796
  5. Step 5: Solve for x
    x = 176,517,796/5,606
  6. Step 6: Final answer
    x = 31,487.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.