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Finding the Third Proportional to 11,994 and 24,468

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Solution

The third proportional to 11,994 and 24,468 is: 49,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994 : 24,468 = 24,468 : x
  2. Step 2: Convert to fraction form
    11,994/24,468 = 24,468/x
  3. Step 3: Cross multiply
    11,994x = 24,468 × 24,468
  4. Step 4: Simplify right side
    11,994x = 598,683,024
  5. Step 5: Solve for x
    x = 598,683,024/11,994
  6. Step 6: Final answer
    x = 49,915.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.