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Finding the Third Proportional to 11,424 and 24,252

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Solution

The third proportional to 11,424 and 24,252 is: 51,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 24,252 = 24,252 : x
  2. Step 2: Convert to fraction form
    11,424/24,252 = 24,252/x
  3. Step 3: Cross multiply
    11,424x = 24,252 × 24,252
  4. Step 4: Simplify right side
    11,424x = 588,159,504
  5. Step 5: Solve for x
    x = 588,159,504/11,424
  6. Step 6: Final answer
    x = 51,484.55

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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.