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Finding the Third Proportional to 11,511 and 25,479

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Solution

The third proportional to 11,511 and 25,479 is: 56,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 25,479 = 25,479 : x
  2. Step 2: Convert to fraction form
    11,511/25,479 = 25,479/x
  3. Step 3: Cross multiply
    11,511x = 25,479 × 25,479
  4. Step 4: Simplify right side
    11,511x = 649,179,441
  5. Step 5: Solve for x
    x = 649,179,441/11,511
  6. Step 6: Final answer
    x = 56,396.44

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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.