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Finding the Third Proportional to 9,198 and 16,596

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Solution

The third proportional to 9,198 and 16,596 is: 29,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 16,596 = 16,596 : x
  2. Step 2: Convert to fraction form
    9,198/16,596 = 16,596/x
  3. Step 3: Cross multiply
    9,198x = 16,596 × 16,596
  4. Step 4: Simplify right side
    9,198x = 275,427,216
  5. Step 5: Solve for x
    x = 275,427,216/9,198
  6. Step 6: Final answer
    x = 29,944.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.