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Finding the Third Proportional to 12,967 and 20,629

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Solution

The third proportional to 12,967 and 20,629 is: 32,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967 : 20,629 = 20,629 : x
  2. Step 2: Convert to fraction form
    12,967/20,629 = 20,629/x
  3. Step 3: Cross multiply
    12,967x = 20,629 × 20,629
  4. Step 4: Simplify right side
    12,967x = 425,555,641
  5. Step 5: Solve for x
    x = 425,555,641/12,967
  6. Step 6: Final answer
    x = 32,818.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.