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Finding the Third Proportional to 22,736 and 49,225

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Solution

The third proportional to 22,736 and 49,225 is: 106,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,736 : 49,225 = 49,225 : x
  2. Step 2: Convert to fraction form
    22,736/49,225 = 49,225/x
  3. Step 3: Cross multiply
    22,736x = 49,225 × 49,225
  4. Step 4: Simplify right side
    22,736x = 2,423,100,625
  5. Step 5: Solve for x
    x = 2,423,100,625/22,736
  6. Step 6: Final answer
    x = 106,575.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.