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Finding the Third Proportional to 41,538 and 64,035

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Solution

The third proportional to 41,538 and 64,035 is: 98,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538 : 64,035 = 64,035 : x
  2. Step 2: Convert to fraction form
    41,538/64,035 = 64,035/x
  3. Step 3: Cross multiply
    41,538x = 64,035 × 64,035
  4. Step 4: Simplify right side
    41,538x = 4,100,481,225
  5. Step 5: Solve for x
    x = 4,100,481,225/41,538
  6. Step 6: Final answer
    x = 98,716.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.