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Finding the Third Proportional to 36,186 and 56,025

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Solution

The third proportional to 36,186 and 56,025 is: 86,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186 : 56,025 = 56,025 : x
  2. Step 2: Convert to fraction form
    36,186/56,025 = 56,025/x
  3. Step 3: Cross multiply
    36,186x = 56,025 × 56,025
  4. Step 4: Simplify right side
    36,186x = 3,138,800,625
  5. Step 5: Solve for x
    x = 3,138,800,625/36,186
  6. Step 6: Final answer
    x = 86,740.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.