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Finding the Third Proportional to 23,884 and 55,777

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Solution

The third proportional to 23,884 and 55,777 is: 130,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884 : 55,777 = 55,777 : x
  2. Step 2: Convert to fraction form
    23,884/55,777 = 55,777/x
  3. Step 3: Cross multiply
    23,884x = 55,777 × 55,777
  4. Step 4: Simplify right side
    23,884x = 3,111,073,729
  5. Step 5: Solve for x
    x = 3,111,073,729/23,884
  6. Step 6: Final answer
    x = 130,257.65

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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.