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Finding the Third Proportional to 23,514 and 51,678

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Solution

The third proportional to 23,514 and 51,678 is: 113,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514 : 51,678 = 51,678 : x
  2. Step 2: Convert to fraction form
    23,514/51,678 = 51,678/x
  3. Step 3: Cross multiply
    23,514x = 51,678 × 51,678
  4. Step 4: Simplify right side
    23,514x = 2,670,615,684
  5. Step 5: Solve for x
    x = 2,670,615,684/23,514
  6. Step 6: Final answer
    x = 113,575.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.