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Finding the Third Proportional to 24,812 and 35,802

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Solution

The third proportional to 24,812 and 35,802 is: 51,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 35,802 = 35,802 : x
  2. Step 2: Convert to fraction form
    24,812/35,802 = 35,802/x
  3. Step 3: Cross multiply
    24,812x = 35,802 × 35,802
  4. Step 4: Simplify right side
    24,812x = 1,281,783,204
  5. Step 5: Solve for x
    x = 1,281,783,204/24,812
  6. Step 6: Final answer
    x = 51,659.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.