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Finding the Third Proportional to 17,879 and 26,513

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Solution

The third proportional to 17,879 and 26,513 is: 39,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879 : 26,513 = 26,513 : x
  2. Step 2: Convert to fraction form
    17,879/26,513 = 26,513/x
  3. Step 3: Cross multiply
    17,879x = 26,513 × 26,513
  4. Step 4: Simplify right side
    17,879x = 702,939,169
  5. Step 5: Solve for x
    x = 702,939,169/17,879
  6. Step 6: Final answer
    x = 39,316.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.