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Finding the Third Proportional to 12,084 and 26,972

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Solution

The third proportional to 12,084 and 26,972 is: 60,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 26,972 = 26,972 : x
  2. Step 2: Convert to fraction form
    12,084/26,972 = 26,972/x
  3. Step 3: Cross multiply
    12,084x = 26,972 × 26,972
  4. Step 4: Simplify right side
    12,084x = 727,488,784
  5. Step 5: Solve for x
    x = 727,488,784/12,084
  6. Step 6: Final answer
    x = 60,202.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.