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Finding the Third Proportional to 17,809.50 and 38,004

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Solution

The third proportional to 17,809.50 and 38,004 is: 81,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.50 : 38,004 = 38,004 : x
  2. Step 2: Convert to fraction form
    17,809.50/38,004 = 38,004/x
  3. Step 3: Cross multiply
    17,809.50x = 38,004 × 38,004
  4. Step 4: Simplify right side
    17,809.50x = 1,444,304,016
  5. Step 5: Solve for x
    x = 1,444,304,016/17,809.50
  6. Step 6: Final answer
    x = 81,097.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.