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Finding the Third Proportional to 17,533 and 24,103.50

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Solution

The third proportional to 17,533 and 24,103.50 is: 33,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533 : 24,103.50 = 24,103.50 : x
  2. Step 2: Convert to fraction form
    17,533/24,103.50 = 24,103.50/x
  3. Step 3: Cross multiply
    17,533x = 24,103.50 × 24,103.50
  4. Step 4: Simplify right side
    17,533x = 580,978,712.25
  5. Step 5: Solve for x
    x = 580,978,712.25/17,533
  6. Step 6: Final answer
    x = 33,136.30

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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.