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Finding the Third Proportional to 23,924 and 55,879

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Solution

The third proportional to 23,924 and 55,879 is: 130,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924 : 55,879 = 55,879 : x
  2. Step 2: Convert to fraction form
    23,924/55,879 = 55,879/x
  3. Step 3: Cross multiply
    23,924x = 55,879 × 55,879
  4. Step 4: Simplify right side
    23,924x = 3,122,462,641
  5. Step 5: Solve for x
    x = 3,122,462,641/23,924
  6. Step 6: Final answer
    x = 130,515.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.