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Finding the Third Proportional to 20,124 and 28,880

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Solution

The third proportional to 20,124 and 28,880 is: 41,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 28,880 = 28,880 : x
  2. Step 2: Convert to fraction form
    20,124/28,880 = 28,880/x
  3. Step 3: Cross multiply
    20,124x = 28,880 × 28,880
  4. Step 4: Simplify right side
    20,124x = 834,054,400
  5. Step 5: Solve for x
    x = 834,054,400/20,124
  6. Step 6: Final answer
    x = 41,445.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.