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Finding the Third Proportional to 40,723 and 54,050

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Solution

The third proportional to 40,723 and 54,050 is: 71,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,723 : 54,050 = 54,050 : x
  2. Step 2: Convert to fraction form
    40,723/54,050 = 54,050/x
  3. Step 3: Cross multiply
    40,723x = 54,050 × 54,050
  4. Step 4: Simplify right side
    40,723x = 2,921,402,500
  5. Step 5: Solve for x
    x = 2,921,402,500/40,723
  6. Step 6: Final answer
    x = 71,738.39

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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.