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Finding the Third Proportional to 6,286 and 13,005

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Solution

The third proportional to 6,286 and 13,005 is: 26,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286 : 13,005 = 13,005 : x
  2. Step 2: Convert to fraction form
    6,286/13,005 = 13,005/x
  3. Step 3: Cross multiply
    6,286x = 13,005 × 13,005
  4. Step 4: Simplify right side
    6,286x = 169,130,025
  5. Step 5: Solve for x
    x = 169,130,025/6,286
  6. Step 6: Final answer
    x = 26,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.