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Finding the Third Proportional to 11,514 and 24,071

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Solution

The third proportional to 11,514 and 24,071 is: 50,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 24,071 = 24,071 : x
  2. Step 2: Convert to fraction form
    11,514/24,071 = 24,071/x
  3. Step 3: Cross multiply
    11,514x = 24,071 × 24,071
  4. Step 4: Simplify right side
    11,514x = 579,413,041
  5. Step 5: Solve for x
    x = 579,413,041/11,514
  6. Step 6: Final answer
    x = 50,322.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.