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Finding the Third Proportional to 29,954 and 45,885

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Solution

The third proportional to 29,954 and 45,885 is: 70,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 45,885 = 45,885 : x
  2. Step 2: Convert to fraction form
    29,954/45,885 = 45,885/x
  3. Step 3: Cross multiply
    29,954x = 45,885 × 45,885
  4. Step 4: Simplify right side
    29,954x = 2,105,433,225
  5. Step 5: Solve for x
    x = 2,105,433,225/29,954
  6. Step 6: Final answer
    x = 70,288.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.