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Finding the Third Proportional to 41,241 and 56,025

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Solution

The third proportional to 41,241 and 56,025 is: 76,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241 : 56,025 = 56,025 : x
  2. Step 2: Convert to fraction form
    41,241/56,025 = 56,025/x
  3. Step 3: Cross multiply
    41,241x = 56,025 × 56,025
  4. Step 4: Simplify right side
    41,241x = 3,138,800,625
  5. Step 5: Solve for x
    x = 3,138,800,625/41,241
  6. Step 6: Final answer
    x = 76,108.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.