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Finding the Third Proportional to 41,013 and 56,241

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Solution

The third proportional to 41,013 and 56,241 is: 77,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013 : 56,241 = 56,241 : x
  2. Step 2: Convert to fraction form
    41,013/56,241 = 56,241/x
  3. Step 3: Cross multiply
    41,013x = 56,241 × 56,241
  4. Step 4: Simplify right side
    41,013x = 3,163,050,081
  5. Step 5: Solve for x
    x = 3,163,050,081/41,013
  6. Step 6: Final answer
    x = 77,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.