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Finding the Third Proportional to 17,413 and 24,467.75

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Solution

The third proportional to 17,413 and 24,467.75 is: 34,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413 : 24,467.75 = 24,467.75 : x
  2. Step 2: Convert to fraction form
    17,413/24,467.75 = 24,467.75/x
  3. Step 3: Cross multiply
    17,413x = 24,467.75 × 24,467.75
  4. Step 4: Simplify right side
    17,413x = 598,670,790.06
  5. Step 5: Solve for x
    x = 598,670,790.06/17,413
  6. Step 6: Final answer
    x = 34,380.68

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Why These Related Problems?

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