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Finding the Third Proportional to 7,895.25 and 16,884.56

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Solution

The third proportional to 7,895.25 and 16,884.56 is: 36,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.25 : 16,884.56 = 16,884.56 : x
  2. Step 2: Convert to fraction form
    7,895.25/16,884.56 = 16,884.56/x
  3. Step 3: Cross multiply
    7,895.25x = 16,884.56 × 16,884.56
  4. Step 4: Simplify right side
    7,895.25x = 285,088,450.82
  5. Step 5: Solve for x
    x = 285,088,450.82/7,895.25
  6. Step 6: Final answer
    x = 36,108.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.