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Finding the Third Proportional to 11,601 and 24,021

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Solution

The third proportional to 11,601 and 24,021 is: 49,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601 : 24,021 = 24,021 : x
  2. Step 2: Convert to fraction form
    11,601/24,021 = 24,021/x
  3. Step 3: Cross multiply
    11,601x = 24,021 × 24,021
  4. Step 4: Simplify right side
    11,601x = 577,008,441
  5. Step 5: Solve for x
    x = 577,008,441/11,601
  6. Step 6: Final answer
    x = 49,737.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.