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Finding the Third Proportional to 12,706 and 27,872

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Solution

The third proportional to 12,706 and 27,872 is: 61,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706 : 27,872 = 27,872 : x
  2. Step 2: Convert to fraction form
    12,706/27,872 = 27,872/x
  3. Step 3: Cross multiply
    12,706x = 27,872 × 27,872
  4. Step 4: Simplify right side
    12,706x = 776,848,384
  5. Step 5: Solve for x
    x = 776,848,384/12,706
  6. Step 6: Final answer
    x = 61,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.