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Finding the Third Proportional to 23,505 and 50,882

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Solution

The third proportional to 23,505 and 50,882 is: 110,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505 : 50,882 = 50,882 : x
  2. Step 2: Convert to fraction form
    23,505/50,882 = 50,882/x
  3. Step 3: Cross multiply
    23,505x = 50,882 × 50,882
  4. Step 4: Simplify right side
    23,505x = 2,588,977,924
  5. Step 5: Solve for x
    x = 2,588,977,924/23,505
  6. Step 6: Final answer
    x = 110,145.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.