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Finding the Third Proportional to 17,631 and 24,178.50

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Solution

The third proportional to 17,631 and 24,178.50 is: 33,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 24,178.50 = 24,178.50 : x
  2. Step 2: Convert to fraction form
    17,631/24,178.50 = 24,178.50/x
  3. Step 3: Cross multiply
    17,631x = 24,178.50 × 24,178.50
  4. Step 4: Simplify right side
    17,631x = 584,599,862.25
  5. Step 5: Solve for x
    x = 584,599,862.25/17,631
  6. Step 6: Final answer
    x = 33,157.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.