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Finding the Third Proportional to 1,965 and 4,089

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Solution

The third proportional to 1,965 and 4,089 is: 8,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965 : 4,089 = 4,089 : x
  2. Step 2: Convert to fraction form
    1,965/4,089 = 4,089/x
  3. Step 3: Cross multiply
    1,965x = 4,089 × 4,089
  4. Step 4: Simplify right side
    1,965x = 16,719,921
  5. Step 5: Solve for x
    x = 16,719,921/1,965
  6. Step 6: Final answer
    x = 8,508.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.