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Finding the Third Proportional to 32,177 and 49,223

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Solution

The third proportional to 32,177 and 49,223 is: 75,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177 : 49,223 = 49,223 : x
  2. Step 2: Convert to fraction form
    32,177/49,223 = 49,223/x
  3. Step 3: Cross multiply
    32,177x = 49,223 × 49,223
  4. Step 4: Simplify right side
    32,177x = 2,422,903,729
  5. Step 5: Solve for x
    x = 2,422,903,729/32,177
  6. Step 6: Final answer
    x = 75,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.