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Finding the Third Proportional to 23,820 and 50,807

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Solution

The third proportional to 23,820 and 50,807 is: 108,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820 : 50,807 = 50,807 : x
  2. Step 2: Convert to fraction form
    23,820/50,807 = 50,807/x
  3. Step 3: Cross multiply
    23,820x = 50,807 × 50,807
  4. Step 4: Simplify right side
    23,820x = 2,581,351,249
  5. Step 5: Solve for x
    x = 2,581,351,249/23,820
  6. Step 6: Final answer
    x = 108,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.