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Finding the Third Proportional to 24,180 and 50,808

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Solution

The third proportional to 24,180 and 50,808 is: 106,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180 : 50,808 = 50,808 : x
  2. Step 2: Convert to fraction form
    24,180/50,808 = 50,808/x
  3. Step 3: Cross multiply
    24,180x = 50,808 × 50,808
  4. Step 4: Simplify right side
    24,180x = 2,581,452,864
  5. Step 5: Solve for x
    x = 2,581,452,864/24,180
  6. Step 6: Final answer
    x = 106,759.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.