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Finding the Third Proportional to 40,871 and 54,925

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Solution

The third proportional to 40,871 and 54,925 is: 73,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871 : 54,925 = 54,925 : x
  2. Step 2: Convert to fraction form
    40,871/54,925 = 54,925/x
  3. Step 3: Cross multiply
    40,871x = 54,925 × 54,925
  4. Step 4: Simplify right side
    40,871x = 3,016,755,625
  5. Step 5: Solve for x
    x = 3,016,755,625/40,871
  6. Step 6: Final answer
    x = 73,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.