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Finding the Third Proportional to 12,972 and 27,671

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Solution

The third proportional to 12,972 and 27,671 is: 59,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972 : 27,671 = 27,671 : x
  2. Step 2: Convert to fraction form
    12,972/27,671 = 27,671/x
  3. Step 3: Cross multiply
    12,972x = 27,671 × 27,671
  4. Step 4: Simplify right side
    12,972x = 765,684,241
  5. Step 5: Solve for x
    x = 765,684,241/12,972
  6. Step 6: Final answer
    x = 59,025.92

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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.