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Finding the Third Proportional to 11,900 and 24,088

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Solution

The third proportional to 11,900 and 24,088 is: 48,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900 : 24,088 = 24,088 : x
  2. Step 2: Convert to fraction form
    11,900/24,088 = 24,088/x
  3. Step 3: Cross multiply
    11,900x = 24,088 × 24,088
  4. Step 4: Simplify right side
    11,900x = 580,231,744
  5. Step 5: Solve for x
    x = 580,231,744/11,900
  6. Step 6: Final answer
    x = 48,758.97

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.