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Finding the Third Proportional to 41,467 and 64,043

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Solution

The third proportional to 41,467 and 64,043 is: 98,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,467 : 64,043 = 64,043 : x
  2. Step 2: Convert to fraction form
    41,467/64,043 = 64,043/x
  3. Step 3: Cross multiply
    41,467x = 64,043 × 64,043
  4. Step 4: Simplify right side
    41,467x = 4,101,505,849
  5. Step 5: Solve for x
    x = 4,101,505,849/41,467
  6. Step 6: Final answer
    x = 98,910.12

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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.