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Finding the Third Proportional to 41,406 and 63,794

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Solution

The third proportional to 41,406 and 63,794 is: 98,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406 : 63,794 = 63,794 : x
  2. Step 2: Convert to fraction form
    41,406/63,794 = 63,794/x
  3. Step 3: Cross multiply
    41,406x = 63,794 × 63,794
  4. Step 4: Simplify right side
    41,406x = 4,069,674,436
  5. Step 5: Solve for x
    x = 4,069,674,436/41,406
  6. Step 6: Final answer
    x = 98,287.07

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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.