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Finding the Third Proportional to 11,457 and 24,067.13

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Solution

The third proportional to 11,457 and 24,067.13 is: 50,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 24,067.13 = 24,067.13 : x
  2. Step 2: Convert to fraction form
    11,457/24,067.13 = 24,067.13/x
  3. Step 3: Cross multiply
    11,457x = 24,067.13 × 24,067.13
  4. Step 4: Simplify right side
    11,457x = 579,226,505.77
  5. Step 5: Solve for x
    x = 579,226,505.77/11,457
  6. Step 6: Final answer
    x = 50,556.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.