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Finding the Third Proportional to 41,382.75 and 64,194

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Solution

The third proportional to 41,382.75 and 64,194 is: 99,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.75 : 64,194 = 64,194 : x
  2. Step 2: Convert to fraction form
    41,382.75/64,194 = 64,194/x
  3. Step 3: Cross multiply
    41,382.75x = 64,194 × 64,194
  4. Step 4: Simplify right side
    41,382.75x = 4,120,869,636
  5. Step 5: Solve for x
    x = 4,120,869,636/41,382.75
  6. Step 6: Final answer
    x = 99,579.41

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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.