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Finding the Third Proportional to 40,567 and 54,145

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Solution

The third proportional to 40,567 and 54,145 is: 72,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567 : 54,145 = 54,145 : x
  2. Step 2: Convert to fraction form
    40,567/54,145 = 54,145/x
  3. Step 3: Cross multiply
    40,567x = 54,145 × 54,145
  4. Step 4: Simplify right side
    40,567x = 2,931,681,025
  5. Step 5: Solve for x
    x = 2,931,681,025/40,567
  6. Step 6: Final answer
    x = 72,267.63

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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.