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Finding the Third Proportional to 11,774 and 24,507

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Solution

The third proportional to 11,774 and 24,507 is: 51,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 24,507 = 24,507 : x
  2. Step 2: Convert to fraction form
    11,774/24,507 = 24,507/x
  3. Step 3: Cross multiply
    11,774x = 24,507 × 24,507
  4. Step 4: Simplify right side
    11,774x = 600,593,049
  5. Step 5: Solve for x
    x = 600,593,049/11,774
  6. Step 6: Final answer
    x = 51,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.