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Finding the Third Proportional to 24,398 and 50,440

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Solution

The third proportional to 24,398 and 50,440 is: 104,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398 : 50,440 = 50,440 : x
  2. Step 2: Convert to fraction form
    24,398/50,440 = 50,440/x
  3. Step 3: Cross multiply
    24,398x = 50,440 × 50,440
  4. Step 4: Simplify right side
    24,398x = 2,544,193,600
  5. Step 5: Solve for x
    x = 2,544,193,600/24,398
  6. Step 6: Final answer
    x = 104,278.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.