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Finding the Third Proportional to 36,405 and 56,187

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Solution

The third proportional to 36,405 and 56,187 is: 86,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,405 : 56,187 = 56,187 : x
  2. Step 2: Convert to fraction form
    36,405/56,187 = 56,187/x
  3. Step 3: Cross multiply
    36,405x = 56,187 × 56,187
  4. Step 4: Simplify right side
    36,405x = 3,156,978,969
  5. Step 5: Solve for x
    x = 3,156,978,969/36,405
  6. Step 6: Final answer
    x = 86,718.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.