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Finding the Third Proportional to 32,328 and 50,174

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Solution

The third proportional to 32,328 and 50,174 is: 77,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328 : 50,174 = 50,174 : x
  2. Step 2: Convert to fraction form
    32,328/50,174 = 50,174/x
  3. Step 3: Cross multiply
    32,328x = 50,174 × 50,174
  4. Step 4: Simplify right side
    32,328x = 2,517,430,276
  5. Step 5: Solve for x
    x = 2,517,430,276/32,328
  6. Step 6: Final answer
    x = 77,871.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.