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Finding the Third Proportional to 6,017 and 13,087

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Solution

The third proportional to 6,017 and 13,087 is: 28,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017 : 13,087 = 13,087 : x
  2. Step 2: Convert to fraction form
    6,017/13,087 = 13,087/x
  3. Step 3: Cross multiply
    6,017x = 13,087 × 13,087
  4. Step 4: Simplify right side
    6,017x = 171,269,569
  5. Step 5: Solve for x
    x = 171,269,569/6,017
  6. Step 6: Final answer
    x = 28,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.