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Finding the Third Proportional to 12,656 and 20,199

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Solution

The third proportional to 12,656 and 20,199 is: 32,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656 : 20,199 = 20,199 : x
  2. Step 2: Convert to fraction form
    12,656/20,199 = 20,199/x
  3. Step 3: Cross multiply
    12,656x = 20,199 × 20,199
  4. Step 4: Simplify right side
    12,656x = 407,999,601
  5. Step 5: Solve for x
    x = 407,999,601/12,656
  6. Step 6: Final answer
    x = 32,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.