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Finding the Third Proportional to 11,600 and 24,996

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Solution

The third proportional to 11,600 and 24,996 is: 53,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 24,996 = 24,996 : x
  2. Step 2: Convert to fraction form
    11,600/24,996 = 24,996/x
  3. Step 3: Cross multiply
    11,600x = 24,996 × 24,996
  4. Step 4: Simplify right side
    11,600x = 624,800,016
  5. Step 5: Solve for x
    x = 624,800,016/11,600
  6. Step 6: Final answer
    x = 53,862.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.