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Finding the Third Proportional to 17,632.50 and 27,008.25

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Solution

The third proportional to 17,632.50 and 27,008.25 is: 41,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.50 : 27,008.25 = 27,008.25 : x
  2. Step 2: Convert to fraction form
    17,632.50/27,008.25 = 27,008.25/x
  3. Step 3: Cross multiply
    17,632.50x = 27,008.25 × 27,008.25
  4. Step 4: Simplify right side
    17,632.50x = 729,445,568.06
  5. Step 5: Solve for x
    x = 729,445,568.06/17,632.50
  6. Step 6: Final answer
    x = 41,369.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.