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Finding the Third Proportional to 9,612 and 20,608

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Solution

The third proportional to 9,612 and 20,608 is: 44,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 20,608 = 20,608 : x
  2. Step 2: Convert to fraction form
    9,612/20,608 = 20,608/x
  3. Step 3: Cross multiply
    9,612x = 20,608 × 20,608
  4. Step 4: Simplify right side
    9,612x = 424,689,664
  5. Step 5: Solve for x
    x = 424,689,664/9,612
  6. Step 6: Final answer
    x = 44,183.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.