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Finding the Third Proportional to 40,745 and 54,084

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Solution

The third proportional to 40,745 and 54,084 is: 71,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,745 : 54,084 = 54,084 : x
  2. Step 2: Convert to fraction form
    40,745/54,084 = 54,084/x
  3. Step 3: Cross multiply
    40,745x = 54,084 × 54,084
  4. Step 4: Simplify right side
    40,745x = 2,925,079,056
  5. Step 5: Solve for x
    x = 2,925,079,056/40,745
  6. Step 6: Final answer
    x = 71,789.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.