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Finding the Third Proportional to 12,970 and 27,667

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Solution

The third proportional to 12,970 and 27,667 is: 59,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970 : 27,667 = 27,667 : x
  2. Step 2: Convert to fraction form
    12,970/27,667 = 27,667/x
  3. Step 3: Cross multiply
    12,970x = 27,667 × 27,667
  4. Step 4: Simplify right side
    12,970x = 765,462,889
  5. Step 5: Solve for x
    x = 765,462,889/12,970
  6. Step 6: Final answer
    x = 59,017.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.