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Finding the Third Proportional to 27,135 and 39,879

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Solution

The third proportional to 27,135 and 39,879 is: 58,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 39,879 = 39,879 : x
  2. Step 2: Convert to fraction form
    27,135/39,879 = 39,879/x
  3. Step 3: Cross multiply
    27,135x = 39,879 × 39,879
  4. Step 4: Simplify right side
    27,135x = 1,590,334,641
  5. Step 5: Solve for x
    x = 1,590,334,641/27,135
  6. Step 6: Final answer
    x = 58,608.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.