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Finding the Third Proportional to 4,998 and 10,469

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Solution

The third proportional to 4,998 and 10,469 is: 21,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 10,469 = 10,469 : x
  2. Step 2: Convert to fraction form
    4,998/10,469 = 10,469/x
  3. Step 3: Cross multiply
    4,998x = 10,469 × 10,469
  4. Step 4: Simplify right side
    4,998x = 109,599,961
  5. Step 5: Solve for x
    x = 109,599,961/4,998
  6. Step 6: Final answer
    x = 21,928.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.