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Finding the Third Proportional to 4,089 and 4,809

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Solution

The third proportional to 4,089 and 4,809 is: 5,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 4,809 = 4,809 : x
  2. Step 2: Convert to fraction form
    4,089/4,809 = 4,809/x
  3. Step 3: Cross multiply
    4,089x = 4,809 × 4,809
  4. Step 4: Simplify right side
    4,089x = 23,126,481
  5. Step 5: Solve for x
    x = 23,126,481/4,089
  6. Step 6: Final answer
    x = 5,655.78

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.