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Finding the Third Proportional to 9,661 and 21,165

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Solution

The third proportional to 9,661 and 21,165 is: 46,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 21,165 = 21,165 : x
  2. Step 2: Convert to fraction form
    9,661/21,165 = 21,165/x
  3. Step 3: Cross multiply
    9,661x = 21,165 × 21,165
  4. Step 4: Simplify right side
    9,661x = 447,957,225
  5. Step 5: Solve for x
    x = 447,957,225/9,661
  6. Step 6: Final answer
    x = 46,367.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.