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Finding the Third Proportional to 29,922 and 38,823

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Solution

The third proportional to 29,922 and 38,823 is: 50,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922 : 38,823 = 38,823 : x
  2. Step 2: Convert to fraction form
    29,922/38,823 = 38,823/x
  3. Step 3: Cross multiply
    29,922x = 38,823 × 38,823
  4. Step 4: Simplify right side
    29,922x = 1,507,225,329
  5. Step 5: Solve for x
    x = 1,507,225,329/29,922
  6. Step 6: Final answer
    x = 50,371.81

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.