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Finding the Third Proportional to 6,187.50 and 13,755

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Solution

The third proportional to 6,187.50 and 13,755 is: 30,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.50 : 13,755 = 13,755 : x
  2. Step 2: Convert to fraction form
    6,187.50/13,755 = 13,755/x
  3. Step 3: Cross multiply
    6,187.50x = 13,755 × 13,755
  4. Step 4: Simplify right side
    6,187.50x = 189,200,025
  5. Step 5: Solve for x
    x = 189,200,025/6,187.50
  6. Step 6: Final answer
    x = 30,577.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.