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Finding the Third Proportional to 33,258 and 49,743

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Solution

The third proportional to 33,258 and 49,743 is: 74,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 49,743 = 49,743 : x
  2. Step 2: Convert to fraction form
    33,258/49,743 = 49,743/x
  3. Step 3: Cross multiply
    33,258x = 49,743 × 49,743
  4. Step 4: Simplify right side
    33,258x = 2,474,366,049
  5. Step 5: Solve for x
    x = 2,474,366,049/33,258
  6. Step 6: Final answer
    x = 74,399.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.