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Finding the Third Proportional to 11,516 and 25,451

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Solution

The third proportional to 11,516 and 25,451 is: 56,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516 : 25,451 = 25,451 : x
  2. Step 2: Convert to fraction form
    11,516/25,451 = 25,451/x
  3. Step 3: Cross multiply
    11,516x = 25,451 × 25,451
  4. Step 4: Simplify right side
    11,516x = 647,753,401
  5. Step 5: Solve for x
    x = 647,753,401/11,516
  6. Step 6: Final answer
    x = 56,248.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.