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Finding the Third Proportional to 5,418 and 10,026

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Solution

The third proportional to 5,418 and 10,026 is: 18,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418 : 10,026 = 10,026 : x
  2. Step 2: Convert to fraction form
    5,418/10,026 = 10,026/x
  3. Step 3: Cross multiply
    5,418x = 10,026 × 10,026
  4. Step 4: Simplify right side
    5,418x = 100,520,676
  5. Step 5: Solve for x
    x = 100,520,676/5,418
  6. Step 6: Final answer
    x = 18,553.10

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.