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Finding the Third Proportional to 17,086.50 and 21,381.75

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Solution

The third proportional to 17,086.50 and 21,381.75 is: 26,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.50 : 21,381.75 = 21,381.75 : x
  2. Step 2: Convert to fraction form
    17,086.50/21,381.75 = 21,381.75/x
  3. Step 3: Cross multiply
    17,086.50x = 21,381.75 × 21,381.75
  4. Step 4: Simplify right side
    17,086.50x = 457,179,233.06
  5. Step 5: Solve for x
    x = 457,179,233.06/17,086.50
  6. Step 6: Final answer
    x = 26,756.75

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.