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Finding the Third Proportional to 9,794 and 20,596

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Solution

The third proportional to 9,794 and 20,596 is: 43,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 20,596 = 20,596 : x
  2. Step 2: Convert to fraction form
    9,794/20,596 = 20,596/x
  3. Step 3: Cross multiply
    9,794x = 20,596 × 20,596
  4. Step 4: Simplify right side
    9,794x = 424,195,216
  5. Step 5: Solve for x
    x = 424,195,216/9,794
  6. Step 6: Final answer
    x = 43,311.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.