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Finding the Third Proportional to 33,477 and 44,428

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Solution

The third proportional to 33,477 and 44,428 is: 58,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477 : 44,428 = 44,428 : x
  2. Step 2: Convert to fraction form
    33,477/44,428 = 44,428/x
  3. Step 3: Cross multiply
    33,477x = 44,428 × 44,428
  4. Step 4: Simplify right side
    33,477x = 1,973,847,184
  5. Step 5: Solve for x
    x = 1,973,847,184/33,477
  6. Step 6: Final answer
    x = 58,961.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.