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Finding the Third Proportional to 38,269.13 and 50,328

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Solution

The third proportional to 38,269.13 and 50,328 is: 66,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.13 : 50,328 = 50,328 : x
  2. Step 2: Convert to fraction form
    38,269.13/50,328 = 50,328/x
  3. Step 3: Cross multiply
    38,269.13x = 50,328 × 50,328
  4. Step 4: Simplify right side
    38,269.13x = 2,532,907,584
  5. Step 5: Solve for x
    x = 2,532,907,584/38,269.13
  6. Step 6: Final answer
    x = 66,186.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.