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Finding the Third Proportional to 28,922 and 39,401

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Solution

The third proportional to 28,922 and 39,401 is: 53,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,922 : 39,401 = 39,401 : x
  2. Step 2: Convert to fraction form
    28,922/39,401 = 39,401/x
  3. Step 3: Cross multiply
    28,922x = 39,401 × 39,401
  4. Step 4: Simplify right side
    28,922x = 1,552,438,801
  5. Step 5: Solve for x
    x = 1,552,438,801/28,922
  6. Step 6: Final answer
    x = 53,676.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.