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Finding the Third Proportional to 23,879 and 35,810

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Solution

The third proportional to 23,879 and 35,810 is: 53,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879 : 35,810 = 35,810 : x
  2. Step 2: Convert to fraction form
    23,879/35,810 = 35,810/x
  3. Step 3: Cross multiply
    23,879x = 35,810 × 35,810
  4. Step 4: Simplify right side
    23,879x = 1,282,356,100
  5. Step 5: Solve for x
    x = 1,282,356,100/23,879
  6. Step 6: Final answer
    x = 53,702.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.