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Finding the Third Proportional to 24,481 and 50,411

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Solution

The third proportional to 24,481 and 50,411 is: 103,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481 : 50,411 = 50,411 : x
  2. Step 2: Convert to fraction form
    24,481/50,411 = 50,411/x
  3. Step 3: Cross multiply
    24,481x = 50,411 × 50,411
  4. Step 4: Simplify right side
    24,481x = 2,541,268,921
  5. Step 5: Solve for x
    x = 2,541,268,921/24,481
  6. Step 6: Final answer
    x = 103,805.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.