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Finding the Third Proportional to 41,034 and 64,278

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Solution

The third proportional to 41,034 and 64,278 is: 100,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,034 : 64,278 = 64,278 : x
  2. Step 2: Convert to fraction form
    41,034/64,278 = 64,278/x
  3. Step 3: Cross multiply
    41,034x = 64,278 × 64,278
  4. Step 4: Simplify right side
    41,034x = 4,131,661,284
  5. Step 5: Solve for x
    x = 4,131,661,284/41,034
  6. Step 6: Final answer
    x = 100,688.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.