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Finding the Third Proportional to 17,469.75 and 24,695.25

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Solution

The third proportional to 17,469.75 and 24,695.25 is: 34,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.75 : 24,695.25 = 24,695.25 : x
  2. Step 2: Convert to fraction form
    17,469.75/24,695.25 = 24,695.25/x
  3. Step 3: Cross multiply
    17,469.75x = 24,695.25 × 24,695.25
  4. Step 4: Simplify right side
    17,469.75x = 609,855,372.56
  5. Step 5: Solve for x
    x = 609,855,372.56/17,469.75
  6. Step 6: Final answer
    x = 34,909.22

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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.