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Finding the Third Proportional to 11,746 and 24,464

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Solution

The third proportional to 11,746 and 24,464 is: 50,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 24,464 = 24,464 : x
  2. Step 2: Convert to fraction form
    11,746/24,464 = 24,464/x
  3. Step 3: Cross multiply
    11,746x = 24,464 × 24,464
  4. Step 4: Simplify right side
    11,746x = 598,487,296
  5. Step 5: Solve for x
    x = 598,487,296/11,746
  6. Step 6: Final answer
    x = 50,952.43

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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.