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Finding the Third Proportional to 4,569 and 9,546

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Solution

The third proportional to 4,569 and 9,546 is: 19,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 9,546 = 9,546 : x
  2. Step 2: Convert to fraction form
    4,569/9,546 = 9,546/x
  3. Step 3: Cross multiply
    4,569x = 9,546 × 9,546
  4. Step 4: Simplify right side
    4,569x = 91,126,116
  5. Step 5: Solve for x
    x = 91,126,116/4,569
  6. Step 6: Final answer
    x = 19,944.43

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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.