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Finding the Third Proportional to 13,498 and 20,427

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Solution

The third proportional to 13,498 and 20,427 is: 30,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 20,427 = 20,427 : x
  2. Step 2: Convert to fraction form
    13,498/20,427 = 20,427/x
  3. Step 3: Cross multiply
    13,498x = 20,427 × 20,427
  4. Step 4: Simplify right side
    13,498x = 417,262,329
  5. Step 5: Solve for x
    x = 417,262,329/13,498
  6. Step 6: Final answer
    x = 30,912.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.