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Finding the Third Proportional to 17,637.75 and 27,664.03

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Solution

The third proportional to 17,637.75 and 27,664.03 is: 43,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.75 : 27,664.03 = 27,664.03 : x
  2. Step 2: Convert to fraction form
    17,637.75/27,664.03 = 27,664.03/x
  3. Step 3: Cross multiply
    17,637.75x = 27,664.03 × 27,664.03
  4. Step 4: Simplify right side
    17,637.75x = 765,298,625.00
  5. Step 5: Solve for x
    x = 765,298,625.00/17,637.75
  6. Step 6: Final answer
    x = 43,389.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.