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Finding the Third Proportional to 7,945.50 and 17,446.88

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Solution

The third proportional to 7,945.50 and 17,446.88 is: 38,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.50 : 17,446.88 = 17,446.88 : x
  2. Step 2: Convert to fraction form
    7,945.50/17,446.88 = 17,446.88/x
  3. Step 3: Cross multiply
    7,945.50x = 17,446.88 × 17,446.88
  4. Step 4: Simplify right side
    7,945.50x = 304,393,447.27
  5. Step 5: Solve for x
    x = 304,393,447.27/7,945.50
  6. Step 6: Final answer
    x = 38,310.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.