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Finding the Third Proportional to 17,149.50 and 24,145.50

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Solution

The third proportional to 17,149.50 and 24,145.50 is: 33,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.50 : 24,145.50 = 24,145.50 : x
  2. Step 2: Convert to fraction form
    17,149.50/24,145.50 = 24,145.50/x
  3. Step 3: Cross multiply
    17,149.50x = 24,145.50 × 24,145.50
  4. Step 4: Simplify right side
    17,149.50x = 583,005,170.25
  5. Step 5: Solve for x
    x = 583,005,170.25/17,149.50
  6. Step 6: Final answer
    x = 33,995.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.