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Finding the Third Proportional to 11,524 and 23,774

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Solution

The third proportional to 11,524 and 23,774 is: 49,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 23,774 = 23,774 : x
  2. Step 2: Convert to fraction form
    11,524/23,774 = 23,774/x
  3. Step 3: Cross multiply
    11,524x = 23,774 × 23,774
  4. Step 4: Simplify right side
    11,524x = 565,203,076
  5. Step 5: Solve for x
    x = 565,203,076/11,524
  6. Step 6: Final answer
    x = 49,045.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.