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Finding the Third Proportional to 10,966 and 23,336.75

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Solution

The third proportional to 10,966 and 23,336.75 is: 49,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 23,336.75 = 23,336.75 : x
  2. Step 2: Convert to fraction form
    10,966/23,336.75 = 23,336.75/x
  3. Step 3: Cross multiply
    10,966x = 23,336.75 × 23,336.75
  4. Step 4: Simplify right side
    10,966x = 544,603,900.56
  5. Step 5: Solve for x
    x = 544,603,900.56/10,966
  6. Step 6: Final answer
    x = 49,662.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.