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Finding the Third Proportional to 11,564 and 24,512

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Solution

The third proportional to 11,564 and 24,512 is: 51,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564 : 24,512 = 24,512 : x
  2. Step 2: Convert to fraction form
    11,564/24,512 = 24,512/x
  3. Step 3: Cross multiply
    11,564x = 24,512 × 24,512
  4. Step 4: Simplify right side
    11,564x = 600,838,144
  5. Step 5: Solve for x
    x = 600,838,144/11,564
  6. Step 6: Final answer
    x = 51,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.