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Finding the Third Proportional to 41,072 and 45,392

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Solution

The third proportional to 41,072 and 45,392 is: 50,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,072 : 45,392 = 45,392 : x
  2. Step 2: Convert to fraction form
    41,072/45,392 = 45,392/x
  3. Step 3: Cross multiply
    41,072x = 45,392 × 45,392
  4. Step 4: Simplify right side
    41,072x = 2,060,433,664
  5. Step 5: Solve for x
    x = 2,060,433,664/41,072
  6. Step 6: Final answer
    x = 50,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.