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Finding the Third Proportional to 11,972 and 24,682

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Solution

The third proportional to 11,972 and 24,682 is: 50,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 24,682 = 24,682 : x
  2. Step 2: Convert to fraction form
    11,972/24,682 = 24,682/x
  3. Step 3: Cross multiply
    11,972x = 24,682 × 24,682
  4. Step 4: Simplify right side
    11,972x = 609,201,124
  5. Step 5: Solve for x
    x = 609,201,124/11,972
  6. Step 6: Final answer
    x = 50,885.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.