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Finding the Third Proportional to 24,668 and 53,841

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Solution

The third proportional to 24,668 and 53,841 is: 117,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668 : 53,841 = 53,841 : x
  2. Step 2: Convert to fraction form
    24,668/53,841 = 53,841/x
  3. Step 3: Cross multiply
    24,668x = 53,841 × 53,841
  4. Step 4: Simplify right side
    24,668x = 2,898,853,281
  5. Step 5: Solve for x
    x = 2,898,853,281/24,668
  6. Step 6: Final answer
    x = 117,514.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.