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Finding the Third Proportional to 48,011.91 and 74,183.34

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Solution

The third proportional to 48,011.91 and 74,183.34 is: 114,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011.91 : 74,183.34 = 74,183.34 : x
  2. Step 2: Convert to fraction form
    48,011.91/74,183.34 = 74,183.34/x
  3. Step 3: Cross multiply
    48,011.91x = 74,183.34 × 74,183.34
  4. Step 4: Simplify right side
    48,011.91x = 5,503,168,489.93
  5. Step 5: Solve for x
    x = 5,503,168,489.93/48,011.91
  6. Step 6: Final answer
    x = 114,620.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.