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Finding the Third Proportional to 13,512 and 21,582

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Solution

The third proportional to 13,512 and 21,582 is: 34,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512 : 21,582 = 21,582 : x
  2. Step 2: Convert to fraction form
    13,512/21,582 = 21,582/x
  3. Step 3: Cross multiply
    13,512x = 21,582 × 21,582
  4. Step 4: Simplify right side
    13,512x = 465,782,724
  5. Step 5: Solve for x
    x = 465,782,724/13,512
  6. Step 6: Final answer
    x = 34,471.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.