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Finding the Third Proportional to 12,650 and 20,325

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Solution

The third proportional to 12,650 and 20,325 is: 32,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650 : 20,325 = 20,325 : x
  2. Step 2: Convert to fraction form
    12,650/20,325 = 20,325/x
  3. Step 3: Cross multiply
    12,650x = 20,325 × 20,325
  4. Step 4: Simplify right side
    12,650x = 413,105,625
  5. Step 5: Solve for x
    x = 413,105,625/12,650
  6. Step 6: Final answer
    x = 32,656.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.