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Finding the Third Proportional to 11,514 and 25,447

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Solution

The third proportional to 11,514 and 25,447 is: 56,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 25,447 = 25,447 : x
  2. Step 2: Convert to fraction form
    11,514/25,447 = 25,447/x
  3. Step 3: Cross multiply
    11,514x = 25,447 × 25,447
  4. Step 4: Simplify right side
    11,514x = 647,549,809
  5. Step 5: Solve for x
    x = 647,549,809/11,514
  6. Step 6: Final answer
    x = 56,240.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.