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Finding the Third Proportional to 29,991 and 49,983

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Solution

The third proportional to 29,991 and 49,983 is: 83,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991 : 49,983 = 49,983 : x
  2. Step 2: Convert to fraction form
    29,991/49,983 = 49,983/x
  3. Step 3: Cross multiply
    29,991x = 49,983 × 49,983
  4. Step 4: Simplify right side
    29,991x = 2,498,300,289
  5. Step 5: Solve for x
    x = 2,498,300,289/29,991
  6. Step 6: Final answer
    x = 83,301.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.