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Finding the Third Proportional to 12,954 and 26,830

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Solution

The third proportional to 12,954 and 26,830 is: 55,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954 : 26,830 = 26,830 : x
  2. Step 2: Convert to fraction form
    12,954/26,830 = 26,830/x
  3. Step 3: Cross multiply
    12,954x = 26,830 × 26,830
  4. Step 4: Simplify right side
    12,954x = 719,848,900
  5. Step 5: Solve for x
    x = 719,848,900/12,954
  6. Step 6: Final answer
    x = 55,569.62

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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.