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Finding the Third Proportional to 17,809.50 and 27,687

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Solution

The third proportional to 17,809.50 and 27,687 is: 43,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.50 : 27,687 = 27,687 : x
  2. Step 2: Convert to fraction form
    17,809.50/27,687 = 27,687/x
  3. Step 3: Cross multiply
    17,809.50x = 27,687 × 27,687
  4. Step 4: Simplify right side
    17,809.50x = 766,569,969
  5. Step 5: Solve for x
    x = 766,569,969/17,809.50
  6. Step 6: Final answer
    x = 43,042.76

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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.