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Finding the Third Proportional to 3,006 and 6,129

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Solution

The third proportional to 3,006 and 6,129 is: 12,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 6,129 = 6,129 : x
  2. Step 2: Convert to fraction form
    3,006/6,129 = 6,129/x
  3. Step 3: Cross multiply
    3,006x = 6,129 × 6,129
  4. Step 4: Simplify right side
    3,006x = 37,564,641
  5. Step 5: Solve for x
    x = 37,564,641/3,006
  6. Step 6: Final answer
    x = 12,496.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.