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Finding the Third Proportional to 11,462 and 24,305

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Solution

The third proportional to 11,462 and 24,305 is: 51,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462 : 24,305 = 24,305 : x
  2. Step 2: Convert to fraction form
    11,462/24,305 = 24,305/x
  3. Step 3: Cross multiply
    11,462x = 24,305 × 24,305
  4. Step 4: Simplify right side
    11,462x = 590,733,025
  5. Step 5: Solve for x
    x = 590,733,025/11,462
  6. Step 6: Final answer
    x = 51,538.39

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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.