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Finding the Third Proportional to 4,493 and 6,609

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Solution

The third proportional to 4,493 and 6,609 is: 9,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493 : 6,609 = 6,609 : x
  2. Step 2: Convert to fraction form
    4,493/6,609 = 6,609/x
  3. Step 3: Cross multiply
    4,493x = 6,609 × 6,609
  4. Step 4: Simplify right side
    4,493x = 43,678,881
  5. Step 5: Solve for x
    x = 43,678,881/4,493
  6. Step 6: Final answer
    x = 9,721.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.