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Finding the Third Proportional to 12,837 and 20,565

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Solution

The third proportional to 12,837 and 20,565 is: 32,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837 : 20,565 = 20,565 : x
  2. Step 2: Convert to fraction form
    12,837/20,565 = 20,565/x
  3. Step 3: Cross multiply
    12,837x = 20,565 × 20,565
  4. Step 4: Simplify right side
    12,837x = 422,919,225
  5. Step 5: Solve for x
    x = 422,919,225/12,837
  6. Step 6: Final answer
    x = 32,945.33

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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.