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Finding the Third Proportional to 11,972 and 15,878

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Solution

The third proportional to 11,972 and 15,878 is: 21,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 15,878 = 15,878 : x
  2. Step 2: Convert to fraction form
    11,972/15,878 = 15,878/x
  3. Step 3: Cross multiply
    11,972x = 15,878 × 15,878
  4. Step 4: Simplify right side
    11,972x = 252,110,884
  5. Step 5: Solve for x
    x = 252,110,884/11,972
  6. Step 6: Final answer
    x = 21,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.