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Finding the Third Proportional to 9,612 and 22,734

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Solution

The third proportional to 9,612 and 22,734 is: 53,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 22,734 = 22,734 : x
  2. Step 2: Convert to fraction form
    9,612/22,734 = 22,734/x
  3. Step 3: Cross multiply
    9,612x = 22,734 × 22,734
  4. Step 4: Simplify right side
    9,612x = 516,834,756
  5. Step 5: Solve for x
    x = 516,834,756/9,612
  6. Step 6: Final answer
    x = 53,769.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.