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Finding the Third Proportional to 3,089 and 7,331

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Solution

The third proportional to 3,089 and 7,331 is: 17,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089 : 7,331 = 7,331 : x
  2. Step 2: Convert to fraction form
    3,089/7,331 = 7,331/x
  3. Step 3: Cross multiply
    3,089x = 7,331 × 7,331
  4. Step 4: Simplify right side
    3,089x = 53,743,561
  5. Step 5: Solve for x
    x = 53,743,561/3,089
  6. Step 6: Final answer
    x = 17,398.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.