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Finding the Third Proportional to 17,961.75 and 24,160.50

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Solution

The third proportional to 17,961.75 and 24,160.50 is: 32,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.75 : 24,160.50 = 24,160.50 : x
  2. Step 2: Convert to fraction form
    17,961.75/24,160.50 = 24,160.50/x
  3. Step 3: Cross multiply
    17,961.75x = 24,160.50 × 24,160.50
  4. Step 4: Simplify right side
    17,961.75x = 583,729,760.25
  5. Step 5: Solve for x
    x = 583,729,760.25/17,961.75
  6. Step 6: Final answer
    x = 32,498.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.