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Finding the Third Proportional to 20,324.67 and 48,956.91

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Solution

The third proportional to 20,324.67 and 48,956.91 is: 117,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.67 : 48,956.91 = 48,956.91 : x
  2. Step 2: Convert to fraction form
    20,324.67/48,956.91 = 48,956.91/x
  3. Step 3: Cross multiply
    20,324.67x = 48,956.91 × 48,956.91
  4. Step 4: Simplify right side
    20,324.67x = 2,396,778,669.57
  5. Step 5: Solve for x
    x = 2,396,778,669.57/20,324.67
  6. Step 6: Final answer
    x = 117,924.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.