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Finding the Third Proportional to 36,351 and 56,187

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Solution

The third proportional to 36,351 and 56,187 is: 86,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351 : 56,187 = 56,187 : x
  2. Step 2: Convert to fraction form
    36,351/56,187 = 56,187/x
  3. Step 3: Cross multiply
    36,351x = 56,187 × 56,187
  4. Step 4: Simplify right side
    36,351x = 3,156,978,969
  5. Step 5: Solve for x
    x = 3,156,978,969/36,351
  6. Step 6: Final answer
    x = 86,847.10

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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.