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Finding the Third Proportional to 41,679 and 64,543

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Solution

The third proportional to 41,679 and 64,543 is: 99,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,679 : 64,543 = 64,543 : x
  2. Step 2: Convert to fraction form
    41,679/64,543 = 64,543/x
  3. Step 3: Cross multiply
    41,679x = 64,543 × 64,543
  4. Step 4: Simplify right side
    41,679x = 4,165,798,849
  5. Step 5: Solve for x
    x = 4,165,798,849/41,679
  6. Step 6: Final answer
    x = 99,949.59

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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.