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Finding the Third Proportional to 24,879 and 53,769

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Solution

The third proportional to 24,879 and 53,769 is: 116,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879 : 53,769 = 53,769 : x
  2. Step 2: Convert to fraction form
    24,879/53,769 = 53,769/x
  3. Step 3: Cross multiply
    24,879x = 53,769 × 53,769
  4. Step 4: Simplify right side
    24,879x = 2,891,105,361
  5. Step 5: Solve for x
    x = 2,891,105,361/24,879
  6. Step 6: Final answer
    x = 116,206.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.