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Finding the Third Proportional to 17,467 and 24,691.75

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Solution

The third proportional to 17,467 and 24,691.75 is: 34,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467 : 24,691.75 = 24,691.75 : x
  2. Step 2: Convert to fraction form
    17,467/24,691.75 = 24,691.75/x
  3. Step 3: Cross multiply
    17,467x = 24,691.75 × 24,691.75
  4. Step 4: Simplify right side
    17,467x = 609,682,518.06
  5. Step 5: Solve for x
    x = 609,682,518.06/17,467
  6. Step 6: Final answer
    x = 34,904.82

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1.5x scale

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.