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Finding the Third Proportional to 27,920 and 35,392

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Solution

The third proportional to 27,920 and 35,392 is: 44,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 35,392 = 35,392 : x
  2. Step 2: Convert to fraction form
    27,920/35,392 = 35,392/x
  3. Step 3: Cross multiply
    27,920x = 35,392 × 35,392
  4. Step 4: Simplify right side
    27,920x = 1,252,593,664
  5. Step 5: Solve for x
    x = 1,252,593,664/27,920
  6. Step 6: Final answer
    x = 44,863.67

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.