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Finding the Third Proportional to 12,947 and 27,939

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Solution

The third proportional to 12,947 and 27,939 is: 60,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947 : 27,939 = 27,939 : x
  2. Step 2: Convert to fraction form
    12,947/27,939 = 27,939/x
  3. Step 3: Cross multiply
    12,947x = 27,939 × 27,939
  4. Step 4: Simplify right side
    12,947x = 780,587,721
  5. Step 5: Solve for x
    x = 780,587,721/12,947
  6. Step 6: Final answer
    x = 60,291.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.