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Finding the Third Proportional to 41,679 and 54,742.50

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Solution

The third proportional to 41,679 and 54,742.50 is: 71,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,679 : 54,742.50 = 54,742.50 : x
  2. Step 2: Convert to fraction form
    41,679/54,742.50 = 54,742.50/x
  3. Step 3: Cross multiply
    41,679x = 54,742.50 × 54,742.50
  4. Step 4: Simplify right side
    41,679x = 2,996,741,306.25
  5. Step 5: Solve for x
    x = 2,996,741,306.25/41,679
  6. Step 6: Final answer
    x = 71,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.